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Finding the Fourth Proportional to 209,687.40, 314,531.10 and 51,915.86

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Solution

The fourth proportional to 209,687.40, 314,531.10 and 51,915.86 is: 77,873.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,687.40 : 314,531.10 = 51,915.86 : x
  2. Step 2: Convert to fraction form
    209,687.40/314,531.10 = 51,915.86/x
  3. Step 3: Cross multiply
    209,687.40x = 314,531.10 × 51,915.86
  4. Step 4: Simplify right side
    209,687.40x = 16,329,150,980.59
  5. Step 5: Solve for x
    x = 16,329,150,980.59/209,687.40
  6. Step 6: Final answer
    x = 77,873.78

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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.