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Finding the Fourth Proportional to 102,657.53, 154,069.22 and 43,534.69

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Solution

The fourth proportional to 102,657.53, 154,069.22 and 43,534.69 is: 65,337.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,657.53 : 154,069.22 = 43,534.69 : x
  2. Step 2: Convert to fraction form
    102,657.53/154,069.22 = 43,534.69/x
  3. Step 3: Cross multiply
    102,657.53x = 154,069.22 × 43,534.69
  4. Step 4: Simplify right side
    102,657.53x = 6,707,355,454.91
  5. Step 5: Solve for x
    x = 6,707,355,454.91/102,657.53
  6. Step 6: Final answer
    x = 65,337.20

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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.