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Finding the Fourth Proportional to 137,963.97, 190,459.16 and 90,290.13

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Solution

The fourth proportional to 137,963.97, 190,459.16 and 90,290.13 is: 124,645.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,963.97 : 190,459.16 = 90,290.13 : x
  2. Step 2: Convert to fraction form
    137,963.97/190,459.16 = 90,290.13/x
  3. Step 3: Cross multiply
    137,963.97x = 190,459.16 × 90,290.13
  4. Step 4: Simplify right side
    137,963.97x = 17,196,581,864.64
  5. Step 5: Solve for x
    x = 17,196,581,864.64/137,963.97
  6. Step 6: Final answer
    x = 124,645.46

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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.