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Finding the Fourth Proportional to 147,951.68, 221,894.40 and 42,747.20

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Solution

The fourth proportional to 147,951.68, 221,894.40 and 42,747.20 is: 64,111.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,951.68 : 221,894.40 = 42,747.20 : x
  2. Step 2: Convert to fraction form
    147,951.68/221,894.40 = 42,747.20/x
  3. Step 3: Cross multiply
    147,951.68x = 221,894.40 × 42,747.20
  4. Step 4: Simplify right side
    147,951.68x = 9,485,364,295.68
  5. Step 5: Solve for x
    x = 9,485,364,295.68/147,951.68
  6. Step 6: Final answer
    x = 64,111.23

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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.