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Finding the Fourth Proportional to 101,811.26, 152,776.43 and 42,641.98

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Solution

The fourth proportional to 101,811.26, 152,776.43 and 42,641.98 is: 63,987.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,811.26 : 152,776.43 = 42,641.98 : x
  2. Step 2: Convert to fraction form
    101,811.26/152,776.43 = 42,641.98/x
  3. Step 3: Cross multiply
    101,811.26x = 152,776.43 × 42,641.98
  4. Step 4: Simplify right side
    101,811.26x = 6,514,689,037.29
  5. Step 5: Solve for x
    x = 6,514,689,037.29/101,811.26
  6. Step 6: Final answer
    x = 63,987.90

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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.