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Finding the Fourth Proportional to 129,020.16, 178,047.84 and 72,449.76

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Solution

The fourth proportional to 129,020.16, 178,047.84 and 72,449.76 is: 99,980.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,020.16 : 178,047.84 = 72,449.76 : x
  2. Step 2: Convert to fraction form
    129,020.16/178,047.84 = 72,449.76/x
  3. Step 3: Cross multiply
    129,020.16x = 178,047.84 × 72,449.76
  4. Step 4: Simplify right side
    129,020.16x = 12,899,523,276.52
  5. Step 5: Solve for x
    x = 12,899,523,276.52/129,020.16
  6. Step 6: Final answer
    x = 99,980.68

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1.5x scale

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.