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Finding the Fourth Proportional to 66,509.76, 99,711.78 and 38,398.02

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Solution

The fourth proportional to 66,509.76, 99,711.78 and 38,398.02 is: 57,566.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,509.76 : 99,711.78 = 38,398.02 : x
  2. Step 2: Convert to fraction form
    66,509.76/99,711.78 = 38,398.02/x
  3. Step 3: Cross multiply
    66,509.76x = 99,711.78 × 38,398.02
  4. Step 4: Simplify right side
    66,509.76x = 3,828,734,922.68
  5. Step 5: Solve for x
    x = 3,828,734,922.68/66,509.76
  6. Step 6: Final answer
    x = 57,566.51

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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.