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Finding the Fourth Proportional to 209,886.48, 314,713.06 and 85,081.68

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Solution

The fourth proportional to 209,886.48, 314,713.06 and 85,081.68 is: 127,575.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,886.48 : 314,713.06 = 85,081.68 : x
  2. Step 2: Convert to fraction form
    209,886.48/314,713.06 = 85,081.68/x
  3. Step 3: Cross multiply
    209,886.48x = 314,713.06 × 85,081.68
  4. Step 4: Simplify right side
    209,886.48x = 26,776,315,862.74
  5. Step 5: Solve for x
    x = 26,776,315,862.74/209,886.48
  6. Step 6: Final answer
    x = 127,575.23

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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.