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Finding the Fourth Proportional to 64,111.12, 96,177.66 and 19,737

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Solution

The fourth proportional to 64,111.12, 96,177.66 and 19,737 is: 29,608.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,111.12 : 96,177.66 = 19,737 : x
  2. Step 2: Convert to fraction form
    64,111.12/96,177.66 = 19,737/x
  3. Step 3: Cross multiply
    64,111.12x = 96,177.66 × 19,737
  4. Step 4: Simplify right side
    64,111.12x = 1,898,258,475.42
  5. Step 5: Solve for x
    x = 1,898,258,475.42/64,111.12
  6. Step 6: Final answer
    x = 29,608.88

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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.