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Finding the Fourth Proportional to 81,006.32, 121,509.48 and 25,598

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Solution

The fourth proportional to 81,006.32, 121,509.48 and 25,598 is: 38,397.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,006.32 : 121,509.48 = 25,598 : x
  2. Step 2: Convert to fraction form
    81,006.32/121,509.48 = 25,598/x
  3. Step 3: Cross multiply
    81,006.32x = 121,509.48 × 25,598
  4. Step 4: Simplify right side
    81,006.32x = 3,110,399,669.04
  5. Step 5: Solve for x
    x = 3,110,399,669.04/81,006.32
  6. Step 6: Final answer
    x = 38,397.00

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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.