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Finding the Fourth Proportional to 120,058.65, 179,962.83 and 45,127.17

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Solution

The fourth proportional to 120,058.65, 179,962.83 and 45,127.17 is: 67,643.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,058.65 : 179,962.83 = 45,127.17 : x
  2. Step 2: Convert to fraction form
    120,058.65/179,962.83 = 45,127.17/x
  3. Step 3: Cross multiply
    120,058.65x = 179,962.83 × 45,127.17
  4. Step 4: Simplify right side
    120,058.65x = 8,121,213,223.09
  5. Step 5: Solve for x
    x = 8,121,213,223.09/120,058.65
  6. Step 6: Final answer
    x = 67,643.72

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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.