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Finding the Fourth Proportional to 107,909.70, 161,864.55 and 55,421.70

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Solution

The fourth proportional to 107,909.70, 161,864.55 and 55,421.70 is: 83,132.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,909.70 : 161,864.55 = 55,421.70 : x
  2. Step 2: Convert to fraction form
    107,909.70/161,864.55 = 55,421.70/x
  3. Step 3: Cross multiply
    107,909.70x = 161,864.55 × 55,421.70
  4. Step 4: Simplify right side
    107,909.70x = 8,970,808,530.74
  5. Step 5: Solve for x
    x = 8,970,808,530.74/107,909.70
  6. Step 6: Final answer
    x = 83,132.55

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1.5x scale

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.