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Finding the Fourth Proportional to 99,779.86, 137,713.78 and 59,496.10

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Solution

The fourth proportional to 99,779.86, 137,713.78 and 59,496.10 is: 82,115.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,779.86 : 137,713.78 = 59,496.10 : x
  2. Step 2: Convert to fraction form
    99,779.86/137,713.78 = 59,496.10/x
  3. Step 3: Cross multiply
    99,779.86x = 137,713.78 × 59,496.10
  4. Step 4: Simplify right side
    99,779.86x = 8,193,432,826.26
  5. Step 5: Solve for x
    x = 8,193,432,826.26/99,779.86
  6. Step 6: Final answer
    x = 82,115.10

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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.