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Finding the Fourth Proportional to 210,879.60, 316,319.40 and 86,191.44

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Solution

The fourth proportional to 210,879.60, 316,319.40 and 86,191.44 is: 129,287.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,879.60 : 316,319.40 = 86,191.44 : x
  2. Step 2: Convert to fraction form
    210,879.60/316,319.40 = 86,191.44/x
  3. Step 3: Cross multiply
    210,879.60x = 316,319.40 × 86,191.44
  4. Step 4: Simplify right side
    210,879.60x = 27,264,024,585.94
  5. Step 5: Solve for x
    x = 27,264,024,585.94/210,879.60
  6. Step 6: Final answer
    x = 129,287.16

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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.