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Finding the Fourth Proportional to 98,017.52, 135,262.34 and 54,997.78

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Solution

The fourth proportional to 98,017.52, 135,262.34 and 54,997.78 is: 75,895.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,017.52 : 135,262.34 = 54,997.78 : x
  2. Step 2: Convert to fraction form
    98,017.52/135,262.34 = 54,997.78/x
  3. Step 3: Cross multiply
    98,017.52x = 135,262.34 × 54,997.78
  4. Step 4: Simplify right side
    98,017.52x = 7,439,128,417.61
  5. Step 5: Solve for x
    x = 7,439,128,417.61/98,017.52
  6. Step 6: Final answer
    x = 75,895.91

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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.