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Finding the Fourth Proportional to 99,478.98, 137,237.40 and 65,443.68

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Solution

The fourth proportional to 99,478.98, 137,237.40 and 65,443.68 is: 90,283.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,478.98 : 137,237.40 = 65,443.68 : x
  2. Step 2: Convert to fraction form
    99,478.98/137,237.40 = 65,443.68/x
  3. Step 3: Cross multiply
    99,478.98x = 137,237.40 × 65,443.68
  4. Step 4: Simplify right side
    99,478.98x = 8,981,320,489.63
  5. Step 5: Solve for x
    x = 8,981,320,489.63/99,478.98
  6. Step 6: Final answer
    x = 90,283.60

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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.