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Finding the Fourth Proportional to 210,788.12, 316,182.72 and 86,129.12

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Solution

The fourth proportional to 210,788.12, 316,182.72 and 86,129.12 is: 129,193.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,788.12 : 316,182.72 = 86,129.12 : x
  2. Step 2: Convert to fraction form
    210,788.12/316,182.72 = 86,129.12/x
  3. Step 3: Cross multiply
    210,788.12x = 316,182.72 × 86,129.12
  4. Step 4: Simplify right side
    210,788.12x = 27,232,539,432.81
  5. Step 5: Solve for x
    x = 27,232,539,432.81/210,788.12
  6. Step 6: Final answer
    x = 129,193.90

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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.