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Finding the Fourth Proportional to 96,779.80, 144,977.70 and 85,234.20

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Solution

The fourth proportional to 96,779.80, 144,977.70 and 85,234.20 is: 127,682.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,779.80 : 144,977.70 = 85,234.20 : x
  2. Step 2: Convert to fraction form
    96,779.80/144,977.70 = 85,234.20/x
  3. Step 3: Cross multiply
    96,779.80x = 144,977.70 × 85,234.20
  4. Step 4: Simplify right side
    96,779.80x = 12,357,058,277.34
  5. Step 5: Solve for x
    x = 12,357,058,277.34/96,779.80
  6. Step 6: Final answer
    x = 127,682.21

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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.