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Finding the Fourth Proportional to 66,785.72, 100,019.54 and 38,646.45

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Solution

The fourth proportional to 66,785.72, 100,019.54 and 38,646.45 is: 57,877.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,785.72 : 100,019.54 = 38,646.45 : x
  2. Step 2: Convert to fraction form
    66,785.72/100,019.54 = 38,646.45/x
  3. Step 3: Cross multiply
    66,785.72x = 100,019.54 × 38,646.45
  4. Step 4: Simplify right side
    66,785.72x = 3,865,400,248.25
  5. Step 5: Solve for x
    x = 3,865,400,248.25/66,785.72
  6. Step 6: Final answer
    x = 57,877.65

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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.