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Finding the Fourth Proportional to 139,264.92, 208,693.26 and 86,514.48

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Solution

The fourth proportional to 139,264.92, 208,693.26 and 86,514.48 is: 129,644.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,264.92 : 208,693.26 = 86,514.48 : x
  2. Step 2: Convert to fraction form
    139,264.92/208,693.26 = 86,514.48/x
  3. Step 3: Cross multiply
    139,264.92x = 208,693.26 × 86,514.48
  4. Step 4: Simplify right side
    139,264.92x = 18,054,988,868.40
  5. Step 5: Solve for x
    x = 18,054,988,868.40/139,264.92
  6. Step 6: Final answer
    x = 129,644.92

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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.