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Finding the Fourth Proportional to 102,359.70, 153,539.55 and 52,423.20

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Solution

The fourth proportional to 102,359.70, 153,539.55 and 52,423.20 is: 78,634.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,359.70 : 153,539.55 = 52,423.20 : x
  2. Step 2: Convert to fraction form
    102,359.70/153,539.55 = 52,423.20/x
  3. Step 3: Cross multiply
    102,359.70x = 153,539.55 × 52,423.20
  4. Step 4: Simplify right side
    102,359.70x = 8,049,034,537.56
  5. Step 5: Solve for x
    x = 8,049,034,537.56/102,359.70
  6. Step 6: Final answer
    x = 78,634.80

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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.