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Finding the Fourth Proportional to 137,882.16, 190,272.31 and 84,256.92

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Solution

The fourth proportional to 137,882.16, 190,272.31 and 84,256.92 is: 116,271.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,882.16 : 190,272.31 = 84,256.92 : x
  2. Step 2: Convert to fraction form
    137,882.16/190,272.31 = 84,256.92/x
  3. Step 3: Cross multiply
    137,882.16x = 190,272.31 × 84,256.92
  4. Step 4: Simplify right side
    137,882.16x = 16,031,758,591.24
  5. Step 5: Solve for x
    x = 16,031,758,591.24/137,882.16
  6. Step 6: Final answer
    x = 116,271.45

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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.