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Finding the Fourth Proportional to 102,151.40, 152,942.70 and 52,123.40

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Solution

The fourth proportional to 102,151.40, 152,942.70 and 52,123.40 is: 78,039.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,151.40 : 152,942.70 = 52,123.40 : x
  2. Step 2: Convert to fraction form
    102,151.40/152,942.70 = 52,123.40/x
  3. Step 3: Cross multiply
    102,151.40x = 152,942.70 × 52,123.40
  4. Step 4: Simplify right side
    102,151.40x = 7,971,893,529.18
  5. Step 5: Solve for x
    x = 7,971,893,529.18/102,151.40
  6. Step 6: Final answer
    x = 78,039.98

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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.