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Finding the Fourth Proportional to 129,509.77, 178,720.77 and 72,149.02

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Solution

The fourth proportional to 129,509.77, 178,720.77 and 72,149.02 is: 99,564.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,509.77 : 178,720.77 = 72,149.02 : x
  2. Step 2: Convert to fraction form
    129,509.77/178,720.77 = 72,149.02/x
  3. Step 3: Cross multiply
    129,509.77x = 178,720.77 × 72,149.02
  4. Step 4: Simplify right side
    129,509.77x = 12,894,528,409.15
  5. Step 5: Solve for x
    x = 12,894,528,409.15/129,509.77
  6. Step 6: Final answer
    x = 99,564.14

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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.