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Finding the Fourth Proportional to 71,574.84, 98,771.40 and 39,742.92

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Solution

The fourth proportional to 71,574.84, 98,771.40 and 39,742.92 is: 54,844.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,574.84 : 98,771.40 = 39,742.92 : x
  2. Step 2: Convert to fraction form
    71,574.84/98,771.40 = 39,742.92/x
  3. Step 3: Cross multiply
    71,574.84x = 98,771.40 × 39,742.92
  4. Step 4: Simplify right side
    71,574.84x = 3,925,463,848.49
  5. Step 5: Solve for x
    x = 3,925,463,848.49/71,574.84
  6. Step 6: Final answer
    x = 54,844.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.