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Finding the Fourth Proportional to 147,071.52, 220,432.32 and 53,468.64

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Solution

The fourth proportional to 147,071.52, 220,432.32 and 53,468.64 is: 80,139.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,071.52 : 220,432.32 = 53,468.64 : x
  2. Step 2: Convert to fraction form
    147,071.52/220,432.32 = 53,468.64/x
  3. Step 3: Cross multiply
    147,071.52x = 220,432.32 × 53,468.64
  4. Step 4: Simplify right side
    147,071.52x = 11,786,216,362.44
  5. Step 5: Solve for x
    x = 11,786,216,362.44/147,071.52
  6. Step 6: Final answer
    x = 80,139.35

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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.