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Finding the Fourth Proportional to 77,612.40, 116,469.80 and 28,364.40

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Solution

The fourth proportional to 77,612.40, 116,469.80 and 28,364.40 is: 42,565.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,612.40 : 116,469.80 = 28,364.40 : x
  2. Step 2: Convert to fraction form
    77,612.40/116,469.80 = 28,364.40/x
  3. Step 3: Cross multiply
    77,612.40x = 116,469.80 × 28,364.40
  4. Step 4: Simplify right side
    77,612.40x = 3,303,595,995.12
  5. Step 5: Solve for x
    x = 3,303,595,995.12/77,612.40
  6. Step 6: Final answer
    x = 42,565.31

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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.