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Finding the Fourth Proportional to 147,371.76, 221,077.08 and 47,499.12

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Solution

The fourth proportional to 147,371.76, 221,077.08 and 47,499.12 is: 71,254.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,371.76 : 221,077.08 = 47,499.12 : x
  2. Step 2: Convert to fraction form
    147,371.76/221,077.08 = 47,499.12/x
  3. Step 3: Cross multiply
    147,371.76x = 221,077.08 × 47,499.12
  4. Step 4: Simplify right side
    147,371.76x = 10,500,966,752.17
  5. Step 5: Solve for x
    x = 10,500,966,752.17/147,371.76
  6. Step 6: Final answer
    x = 71,254.95

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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.