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Finding the Fourth Proportional to 102,529.40, 153,818.40 and 52,617.20

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Solution

The fourth proportional to 102,529.40, 153,818.40 and 52,617.20 is: 78,938.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,529.40 : 153,818.40 = 52,617.20 : x
  2. Step 2: Convert to fraction form
    102,529.40/153,818.40 = 52,617.20/x
  3. Step 3: Cross multiply
    102,529.40x = 153,818.40 × 52,617.20
  4. Step 4: Simplify right side
    102,529.40x = 8,093,493,516.48
  5. Step 5: Solve for x
    x = 8,093,493,516.48/102,529.40
  6. Step 6: Final answer
    x = 78,938.27

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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.