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Finding the Fourth Proportional to 210,876.10, 316,314.15 and 86,187.94

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Solution

The fourth proportional to 210,876.10, 316,314.15 and 86,187.94 is: 129,281.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,876.10 : 316,314.15 = 86,187.94 : x
  2. Step 2: Convert to fraction form
    210,876.10/316,314.15 = 86,187.94/x
  3. Step 3: Cross multiply
    210,876.10x = 316,314.15 × 86,187.94
  4. Step 4: Simplify right side
    210,876.10x = 27,262,464,981.35
  5. Step 5: Solve for x
    x = 27,262,464,981.35/210,876.10
  6. Step 6: Final answer
    x = 129,281.91

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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.