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Finding the Fourth Proportional to 158,264.78, 218,405.70 and 86,649.35

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Solution

The fourth proportional to 158,264.78, 218,405.70 and 86,649.35 is: 119,576.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,264.78 : 218,405.70 = 86,649.35 : x
  2. Step 2: Convert to fraction form
    158,264.78/218,405.70 = 86,649.35/x
  3. Step 3: Cross multiply
    158,264.78x = 218,405.70 × 86,649.35
  4. Step 4: Simplify right side
    158,264.78x = 18,924,710,849.27
  5. Step 5: Solve for x
    x = 18,924,710,849.27/158,264.78
  6. Step 6: Final answer
    x = 119,576.27

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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.