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Finding the Fourth Proportional to 77,899.36, 107,472.24 and 54,047.20

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Solution

The fourth proportional to 77,899.36, 107,472.24 and 54,047.20 is: 74,565.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,899.36 : 107,472.24 = 54,047.20 : x
  2. Step 2: Convert to fraction form
    77,899.36/107,472.24 = 54,047.20/x
  3. Step 3: Cross multiply
    77,899.36x = 107,472.24 × 54,047.20
  4. Step 4: Simplify right side
    77,899.36x = 5,808,573,649.73
  5. Step 5: Solve for x
    x = 5,808,573,649.73/77,899.36
  6. Step 6: Final answer
    x = 74,565.10

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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.