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Finding the Fourth Proportional to 102,387.60, 153,811.80 and 99,622.80

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Solution

The fourth proportional to 102,387.60, 153,811.80 and 99,622.80 is: 149,658.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,387.60 : 153,811.80 = 99,622.80 : x
  2. Step 2: Convert to fraction form
    102,387.60/153,811.80 = 99,622.80/x
  3. Step 3: Cross multiply
    102,387.60x = 153,811.80 × 99,622.80
  4. Step 4: Simplify right side
    102,387.60x = 15,323,162,189.04
  5. Step 5: Solve for x
    x = 15,323,162,189.04/102,387.60
  6. Step 6: Final answer
    x = 149,658.38

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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.