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Finding the Fourth Proportional to 147,393.76, 221,089.74 and 42,212.74

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Solution

The fourth proportional to 147,393.76, 221,089.74 and 42,212.74 is: 63,318.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,393.76 : 221,089.74 = 42,212.74 : x
  2. Step 2: Convert to fraction form
    147,393.76/221,089.74 = 42,212.74/x
  3. Step 3: Cross multiply
    147,393.76x = 221,089.74 × 42,212.74
  4. Step 4: Simplify right side
    147,393.76x = 9,332,803,711.29
  5. Step 5: Solve for x
    x = 9,332,803,711.29/147,393.76
  6. Step 6: Final answer
    x = 63,318.85

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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.