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Finding the Fourth Proportional to 45,331, 67,998.93 and 14,168.68

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Solution

The fourth proportional to 45,331, 67,998.93 and 14,168.68 is: 21,253.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,331 : 67,998.93 = 14,168.68 : x
  2. Step 2: Convert to fraction form
    45,331/67,998.93 = 14,168.68/x
  3. Step 3: Cross multiply
    45,331x = 67,998.93 × 14,168.68
  4. Step 4: Simplify right side
    45,331x = 963,455,079.51
  5. Step 5: Solve for x
    x = 963,455,079.51/45,331
  6. Step 6: Final answer
    x = 21,253.78

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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.