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Finding the Fourth Proportional to 102,654.40, 153,981.60 and 67,633.60

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Solution

The fourth proportional to 102,654.40, 153,981.60 and 67,633.60 is: 101,450.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,654.40 : 153,981.60 = 67,633.60 : x
  2. Step 2: Convert to fraction form
    102,654.40/153,981.60 = 67,633.60/x
  3. Step 3: Cross multiply
    102,654.40x = 153,981.60 × 67,633.60
  4. Step 4: Simplify right side
    102,654.40x = 10,414,329,941.76
  5. Step 5: Solve for x
    x = 10,414,329,941.76/102,654.40
  6. Step 6: Final answer
    x = 101,450.40

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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.