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Finding the Fourth Proportional to 211,248.40, 316,920.60 and 71,021.20

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Solution

The fourth proportional to 211,248.40, 316,920.60 and 71,021.20 is: 106,547.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,248.40 : 316,920.60 = 71,021.20 : x
  2. Step 2: Convert to fraction form
    211,248.40/316,920.60 = 71,021.20/x
  3. Step 3: Cross multiply
    211,248.40x = 316,920.60 × 71,021.20
  4. Step 4: Simplify right side
    211,248.40x = 22,508,081,316.72
  5. Step 5: Solve for x
    x = 22,508,081,316.72/211,248.40
  6. Step 6: Final answer
    x = 106,547.94

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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.