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Finding the Fourth Proportional to 100,411.52, 138,567.84 and 55,089.80

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Solution

The fourth proportional to 100,411.52, 138,567.84 and 55,089.80 is: 76,023.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,411.52 : 138,567.84 = 55,089.80 : x
  2. Step 2: Convert to fraction form
    100,411.52/138,567.84 = 55,089.80/x
  3. Step 3: Cross multiply
    100,411.52x = 138,567.84 × 55,089.80
  4. Step 4: Simplify right side
    100,411.52x = 7,633,674,592.03
  5. Step 5: Solve for x
    x = 7,633,674,592.03/100,411.52
  6. Step 6: Final answer
    x = 76,023.89

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1.5x scale

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.