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Finding the Fourth Proportional to 72,833.78, 100,510.56 and 42,624.86

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Solution

The fourth proportional to 72,833.78, 100,510.56 and 42,624.86 is: 58,822.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,833.78 : 100,510.56 = 42,624.86 : x
  2. Step 2: Convert to fraction form
    72,833.78/100,510.56 = 42,624.86/x
  3. Step 3: Cross multiply
    72,833.78x = 100,510.56 × 42,624.86
  4. Step 4: Simplify right side
    72,833.78x = 4,284,248,045.97
  5. Step 5: Solve for x
    x = 4,284,248,045.97/72,833.78
  6. Step 6: Final answer
    x = 58,822.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.