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Finding the Fourth Proportional to 147,019.76, 220,541.32 and 45,805.36

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Solution

The fourth proportional to 147,019.76, 220,541.32 and 45,805.36 is: 68,711.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,019.76 : 220,541.32 = 45,805.36 : x
  2. Step 2: Convert to fraction form
    147,019.76/220,541.32 = 45,805.36/x
  3. Step 3: Cross multiply
    147,019.76x = 220,541.32 × 45,805.36
  4. Step 4: Simplify right side
    147,019.76x = 10,101,974,557.48
  5. Step 5: Solve for x
    x = 10,101,974,557.48/147,019.76
  6. Step 6: Final answer
    x = 68,711.68

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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.