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Finding the Fourth Proportional to 342,577.59, 513,854.04 and 89,856.06

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Solution

The fourth proportional to 342,577.59, 513,854.04 and 89,856.06 is: 134,780.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,577.59 : 513,854.04 = 89,856.06 : x
  2. Step 2: Convert to fraction form
    342,577.59/513,854.04 = 89,856.06/x
  3. Step 3: Cross multiply
    342,577.59x = 513,854.04 × 89,856.06
  4. Step 4: Simplify right side
    342,577.59x = 46,172,899,449.48
  5. Step 5: Solve for x
    x = 46,172,899,449.48/342,577.59
  6. Step 6: Final answer
    x = 134,780.85

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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.