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Finding the Fourth Proportional to 99,534.70, 137,357.86 and 54,822.70

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Solution

The fourth proportional to 99,534.70, 137,357.86 and 54,822.70 is: 75,655.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,534.70 : 137,357.86 = 54,822.70 : x
  2. Step 2: Convert to fraction form
    99,534.70/137,357.86 = 54,822.70/x
  3. Step 3: Cross multiply
    99,534.70x = 137,357.86 × 54,822.70
  4. Step 4: Simplify right side
    99,534.70x = 7,530,328,751.42
  5. Step 5: Solve for x
    x = 7,530,328,751.42/99,534.70
  6. Step 6: Final answer
    x = 75,655.31

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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.