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Finding the Fourth Proportional to 121,153.98, 181,731.78 and 42,267.90

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Solution

The fourth proportional to 121,153.98, 181,731.78 and 42,267.90 is: 63,402.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,153.98 : 181,731.78 = 42,267.90 : x
  2. Step 2: Convert to fraction form
    121,153.98/181,731.78 = 42,267.90/x
  3. Step 3: Cross multiply
    121,153.98x = 181,731.78 × 42,267.90
  4. Step 4: Simplify right side
    121,153.98x = 7,681,420,703.86
  5. Step 5: Solve for x
    x = 7,681,420,703.86/121,153.98
  6. Step 6: Final answer
    x = 63,402.13

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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.