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Finding the Fourth Proportional to 120,088.59, 165,698.70 and 72,344.57

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Solution

The fourth proportional to 120,088.59, 165,698.70 and 72,344.57 is: 99,821.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,088.59 : 165,698.70 = 72,344.57 : x
  2. Step 2: Convert to fraction form
    120,088.59/165,698.70 = 72,344.57/x
  3. Step 3: Cross multiply
    120,088.59x = 165,698.70 × 72,344.57
  4. Step 4: Simplify right side
    120,088.59x = 11,987,400,372.57
  5. Step 5: Solve for x
    x = 11,987,400,372.57/120,088.59
  6. Step 6: Final answer
    x = 99,821.31

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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.