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Finding the Fourth Proportional to 91,842.30, 137,763.45 and 91,259.10

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Solution

The fourth proportional to 91,842.30, 137,763.45 and 91,259.10 is: 136,888.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,842.30 : 137,763.45 = 91,259.10 : x
  2. Step 2: Convert to fraction form
    91,842.30/137,763.45 = 91,259.10/x
  3. Step 3: Cross multiply
    91,842.30x = 137,763.45 × 91,259.10
  4. Step 4: Simplify right side
    91,842.30x = 12,572,168,459.90
  5. Step 5: Solve for x
    x = 12,572,168,459.90/91,842.30
  6. Step 6: Final answer
    x = 136,888.65

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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.