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Finding the Fourth Proportional to 102,681.68, 154,020.69 and 52,732.42

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Solution

The fourth proportional to 102,681.68, 154,020.69 and 52,732.42 is: 79,097.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,681.68 : 154,020.69 = 52,732.42 : x
  2. Step 2: Convert to fraction form
    102,681.68/154,020.69 = 52,732.42/x
  3. Step 3: Cross multiply
    102,681.68x = 154,020.69 × 52,732.42
  4. Step 4: Simplify right side
    102,681.68x = 8,121,883,328.72
  5. Step 5: Solve for x
    x = 8,121,883,328.72/102,681.68
  6. Step 6: Final answer
    x = 79,097.69

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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.