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Finding the Fourth Proportional to 210,729.96, 316,095.18 and 86,070.96

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Solution

The fourth proportional to 210,729.96, 316,095.18 and 86,070.96 is: 129,106.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,729.96 : 316,095.18 = 86,070.96 : x
  2. Step 2: Convert to fraction form
    210,729.96/316,095.18 = 86,070.96/x
  3. Step 3: Cross multiply
    210,729.96x = 316,095.18 × 86,070.96
  4. Step 4: Simplify right side
    210,729.96x = 27,206,615,593.97
  5. Step 5: Solve for x
    x = 27,206,615,593.97/210,729.96
  6. Step 6: Final answer
    x = 129,106.54

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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.