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Finding the Fourth Proportional to 121,998.76, 182,962.94 and 42,033.47

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Solution

The fourth proportional to 121,998.76, 182,962.94 and 42,033.47 is: 63,038.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,998.76 : 182,962.94 = 42,033.47 : x
  2. Step 2: Convert to fraction form
    121,998.76/182,962.94 = 42,033.47/x
  3. Step 3: Cross multiply
    121,998.76x = 182,962.94 × 42,033.47
  4. Step 4: Simplify right side
    121,998.76x = 7,690,566,124.62
  5. Step 5: Solve for x
    x = 7,690,566,124.62/121,998.76
  6. Step 6: Final answer
    x = 63,038.07

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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.