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Finding the Fourth Proportional to 127,642.30, 191,491.08 and 38,893.48

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Solution

The fourth proportional to 127,642.30, 191,491.08 and 38,893.48 is: 58,348.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,642.30 : 191,491.08 = 38,893.48 : x
  2. Step 2: Convert to fraction form
    127,642.30/191,491.08 = 38,893.48/x
  3. Step 3: Cross multiply
    127,642.30x = 191,491.08 × 38,893.48
  4. Step 4: Simplify right side
    127,642.30x = 7,447,754,490.16
  5. Step 5: Solve for x
    x = 7,447,754,490.16/127,642.30
  6. Step 6: Final answer
    x = 58,348.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.