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Finding the Fourth Proportional to 49,963,612.80, 74,973,412.80 and 21,204,854.40

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Solution

The fourth proportional to 49,963,612.80, 74,973,412.80 and 21,204,854.40 is: 31,819,162.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,963,612.80 : 74,973,412.80 = 21,204,854.40 : x
  2. Step 2: Convert to fraction form
    49,963,612.80/74,973,412.80 = 21,204,854.40/x
  3. Step 3: Cross multiply
    49,963,612.80x = 74,973,412.80 × 21,204,854.40
  4. Step 4: Simplify right side
    49,963,612.80x = 1,589,800,302,295,096.25
  5. Step 5: Solve for x
    x = 1,589,800,302,295,096.25/49,963,612.80
  6. Step 6: Final answer
    x = 31,819,162.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.