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Finding the Fourth Proportional to 102,929.60, 154,248.60 and 90,390.80

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Solution

The fourth proportional to 102,929.60, 154,248.60 and 90,390.80 is: 135,458.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,929.60 : 154,248.60 = 90,390.80 : x
  2. Step 2: Convert to fraction form
    102,929.60/154,248.60 = 90,390.80/x
  3. Step 3: Cross multiply
    102,929.60x = 154,248.60 × 90,390.80
  4. Step 4: Simplify right side
    102,929.60x = 13,942,654,352.88
  5. Step 5: Solve for x
    x = 13,942,654,352.88/102,929.60
  6. Step 6: Final answer
    x = 135,458.16

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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.