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Finding the Fourth Proportional to 210,711.16, 316,095.90 and 86,023

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Solution

The fourth proportional to 210,711.16, 316,095.90 and 86,023 is: 129,046.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,711.16 : 316,095.90 = 86,023 : x
  2. Step 2: Convert to fraction form
    210,711.16/316,095.90 = 86,023/x
  3. Step 3: Cross multiply
    210,711.16x = 316,095.90 × 86,023
  4. Step 4: Simplify right side
    210,711.16x = 27,191,517,605.70
  5. Step 5: Solve for x
    x = 27,191,517,605.70/210,711.16
  6. Step 6: Final answer
    x = 129,046.40

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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.