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Finding the Fourth Proportional to 138,225, 190,760.04 and 77,801.40

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Solution

The fourth proportional to 138,225, 190,760.04 and 77,801.40 is: 107,371.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,225 : 190,760.04 = 77,801.40 : x
  2. Step 2: Convert to fraction form
    138,225/190,760.04 = 77,801.40/x
  3. Step 3: Cross multiply
    138,225x = 190,760.04 × 77,801.40
  4. Step 4: Simplify right side
    138,225x = 14,841,398,176.06
  5. Step 5: Solve for x
    x = 14,841,398,176.06/138,225
  6. Step 6: Final answer
    x = 107,371.30

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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.