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Finding the Fourth Proportional to 342,230.84, 513,307.02 and 89,535.71

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Solution

The fourth proportional to 342,230.84, 513,307.02 and 89,535.71 is: 134,293.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,230.84 : 513,307.02 = 89,535.71 : x
  2. Step 2: Convert to fraction form
    342,230.84/513,307.02 = 89,535.71/x
  3. Step 3: Cross multiply
    342,230.84x = 513,307.02 × 89,535.71
  4. Step 4: Simplify right side
    342,230.84x = 45,959,309,766.95
  5. Step 5: Solve for x
    x = 45,959,309,766.95/342,230.84
  6. Step 6: Final answer
    x = 134,293.30

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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.