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Finding the Fourth Proportional to 144,515.52, 199,443.22 and 83,280.76

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Solution

The fourth proportional to 144,515.52, 199,443.22 and 83,280.76 is: 114,934.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,515.52 : 199,443.22 = 83,280.76 : x
  2. Step 2: Convert to fraction form
    144,515.52/199,443.22 = 83,280.76/x
  3. Step 3: Cross multiply
    144,515.52x = 199,443.22 × 83,280.76
  4. Step 4: Simplify right side
    144,515.52x = 16,609,782,938.45
  5. Step 5: Solve for x
    x = 16,609,782,938.45/144,515.52
  6. Step 6: Final answer
    x = 114,934.25

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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.