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Finding the Fourth Proportional to 158,851.93, 219,218.17 and 86,254.78

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Solution

The fourth proportional to 158,851.93, 219,218.17 and 86,254.78 is: 119,032.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,851.93 : 219,218.17 = 86,254.78 : x
  2. Step 2: Convert to fraction form
    158,851.93/219,218.17 = 86,254.78/x
  3. Step 3: Cross multiply
    158,851.93x = 219,218.17 × 86,254.78
  4. Step 4: Simplify right side
    158,851.93x = 18,908,615,025.35
  5. Step 5: Solve for x
    x = 18,908,615,025.35/158,851.93
  6. Step 6: Final answer
    x = 119,032.96

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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.