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Finding the Fourth Proportional to 128,772.96, 193,060.08 and 48,809.76

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Solution

The fourth proportional to 128,772.96, 193,060.08 and 48,809.76 is: 73,176.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,772.96 : 193,060.08 = 48,809.76 : x
  2. Step 2: Convert to fraction form
    128,772.96/193,060.08 = 48,809.76/x
  3. Step 3: Cross multiply
    128,772.96x = 193,060.08 × 48,809.76
  4. Step 4: Simplify right side
    128,772.96x = 9,423,216,170.38
  5. Step 5: Solve for x
    x = 9,423,216,170.38/128,772.96
  6. Step 6: Final answer
    x = 73,176.98

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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.