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Finding the Fourth Proportional to 119,712, 179,593.92 and 45,840

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Solution

The fourth proportional to 119,712, 179,593.92 and 45,840 is: 68,769.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,712 : 179,593.92 = 45,840 : x
  2. Step 2: Convert to fraction form
    119,712/179,593.92 = 45,840/x
  3. Step 3: Cross multiply
    119,712x = 179,593.92 × 45,840
  4. Step 4: Simplify right side
    119,712x = 8,232,585,292.80
  5. Step 5: Solve for x
    x = 8,232,585,292.80/119,712
  6. Step 6: Final answer
    x = 68,769.93

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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.