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Finding the Fourth Proportional to 160,131.84, 220,979.68 and 88,513.12

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Solution

The fourth proportional to 160,131.84, 220,979.68 and 88,513.12 is: 122,146.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,131.84 : 220,979.68 = 88,513.12 : x
  2. Step 2: Convert to fraction form
    160,131.84/220,979.68 = 88,513.12/x
  3. Step 3: Cross multiply
    160,131.84x = 220,979.68 × 88,513.12
  4. Step 4: Simplify right side
    160,131.84x = 19,559,600,933.40
  5. Step 5: Solve for x
    x = 19,559,600,933.40/160,131.84
  6. Step 6: Final answer
    x = 122,146.86

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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.