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Finding the Fourth Proportional to 138,888, 191,669.16 and 85,142.04

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Solution

The fourth proportional to 138,888, 191,669.16 and 85,142.04 is: 117,498.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,888 : 191,669.16 = 85,142.04 : x
  2. Step 2: Convert to fraction form
    138,888/191,669.16 = 85,142.04/x
  3. Step 3: Cross multiply
    138,888x = 191,669.16 × 85,142.04
  4. Step 4: Simplify right side
    138,888x = 16,319,103,287.49
  5. Step 5: Solve for x
    x = 16,319,103,287.49/138,888
  6. Step 6: Final answer
    x = 117,498.30

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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.