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Finding the Fourth Proportional to 123,463.16, 170,407.11 and 69,779.31

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Solution

The fourth proportional to 123,463.16, 170,407.11 and 69,779.31 is: 96,311.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,463.16 : 170,407.11 = 69,779.31 : x
  2. Step 2: Convert to fraction form
    123,463.16/170,407.11 = 69,779.31/x
  3. Step 3: Cross multiply
    123,463.16x = 170,407.11 × 69,779.31
  4. Step 4: Simplify right side
    123,463.16x = 11,890,890,651.13
  5. Step 5: Solve for x
    x = 11,890,890,651.13/123,463.16
  6. Step 6: Final answer
    x = 96,311.25

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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.