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Finding the Fourth Proportional to 105,489.83, 145,575.99 and 57,744.20

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Solution

The fourth proportional to 105,489.83, 145,575.99 and 57,744.20 is: 79,687.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,489.83 : 145,575.99 = 57,744.20 : x
  2. Step 2: Convert to fraction form
    105,489.83/145,575.99 = 57,744.20/x
  3. Step 3: Cross multiply
    105,489.83x = 145,575.99 × 57,744.20
  4. Step 4: Simplify right side
    105,489.83x = 8,406,168,353.88
  5. Step 5: Solve for x
    x = 8,406,168,353.88/105,489.83
  6. Step 6: Final answer
    x = 79,687.01

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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.