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Finding the Fourth Proportional to 77,565.38, 107,037.38 and 47,401.20

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Solution

The fourth proportional to 77,565.38, 107,037.38 and 47,401.20 is: 65,411.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,565.38 : 107,037.38 = 47,401.20 : x
  2. Step 2: Convert to fraction form
    77,565.38/107,037.38 = 47,401.20/x
  3. Step 3: Cross multiply
    77,565.38x = 107,037.38 × 47,401.20
  4. Step 4: Simplify right side
    77,565.38x = 5,073,700,256.86
  5. Step 5: Solve for x
    x = 5,073,700,256.86/77,565.38
  6. Step 6: Final answer
    x = 65,411.92

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1.5x scale

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.