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Finding the Fourth Proportional to 119,565.64, 165,008.05 and 65,850.64

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Solution

The fourth proportional to 119,565.64, 165,008.05 and 65,850.64 is: 90,877.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,565.64 : 165,008.05 = 65,850.64 : x
  2. Step 2: Convert to fraction form
    119,565.64/165,008.05 = 65,850.64/x
  3. Step 3: Cross multiply
    119,565.64x = 165,008.05 × 65,850.64
  4. Step 4: Simplify right side
    119,565.64x = 10,865,885,368.40
  5. Step 5: Solve for x
    x = 10,865,885,368.40/119,565.64
  6. Step 6: Final answer
    x = 90,877.99

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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.