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Finding the Fourth Proportional to 98,011.50, 135,254.07 and 54,991.78

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Solution

The fourth proportional to 98,011.50, 135,254.07 and 54,991.78 is: 75,887.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,011.50 : 135,254.07 = 54,991.78 : x
  2. Step 2: Convert to fraction form
    98,011.50/135,254.07 = 54,991.78/x
  3. Step 3: Cross multiply
    98,011.50x = 135,254.07 × 54,991.78
  4. Step 4: Simplify right side
    98,011.50x = 7,437,862,061.54
  5. Step 5: Solve for x
    x = 7,437,862,061.54/98,011.50
  6. Step 6: Final answer
    x = 75,887.65

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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.