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Finding the Fourth Proportional to 147,412.80, 220,856.76 and 68,389.20

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Solution

The fourth proportional to 147,412.80, 220,856.76 and 68,389.20 is: 102,462.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,412.80 : 220,856.76 = 68,389.20 : x
  2. Step 2: Convert to fraction form
    147,412.80/220,856.76 = 68,389.20/x
  3. Step 3: Cross multiply
    147,412.80x = 220,856.76 × 68,389.20
  4. Step 4: Simplify right side
    147,412.80x = 15,104,217,130.99
  5. Step 5: Solve for x
    x = 15,104,217,130.99/147,412.80
  6. Step 6: Final answer
    x = 102,462.05

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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.