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Finding the Fourth Proportional to 72,042, 107,988.08 and 29,945

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Solution

The fourth proportional to 72,042, 107,988.08 and 29,945 is: 44,886.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,042 : 107,988.08 = 29,945 : x
  2. Step 2: Convert to fraction form
    72,042/107,988.08 = 29,945/x
  3. Step 3: Cross multiply
    72,042x = 107,988.08 × 29,945
  4. Step 4: Simplify right side
    72,042x = 3,233,703,055.60
  5. Step 5: Solve for x
    x = 3,233,703,055.60/72,042
  6. Step 6: Final answer
    x = 44,886.36

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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.