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Finding the Fourth Proportional to 102,002.60, 152,960.70 and 49,428.20

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Solution

The fourth proportional to 102,002.60, 152,960.70 and 49,428.20 is: 74,121.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,002.60 : 152,960.70 = 49,428.20 : x
  2. Step 2: Convert to fraction form
    102,002.60/152,960.70 = 49,428.20/x
  3. Step 3: Cross multiply
    102,002.60x = 152,960.70 × 49,428.20
  4. Step 4: Simplify right side
    102,002.60x = 7,560,572,071.74
  5. Step 5: Solve for x
    x = 7,560,572,071.74/102,002.60
  6. Step 6: Final answer
    x = 74,121.37

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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.