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Finding the Fourth Proportional to 209,967.80, 314,951.70 and 156,823.70

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Solution

The fourth proportional to 209,967.80, 314,951.70 and 156,823.70 is: 235,235.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,967.80 : 314,951.70 = 156,823.70 : x
  2. Step 2: Convert to fraction form
    209,967.80/314,951.70 = 156,823.70/x
  3. Step 3: Cross multiply
    209,967.80x = 314,951.70 × 156,823.70
  4. Step 4: Simplify right side
    209,967.80x = 49,391,890,915.29
  5. Step 5: Solve for x
    x = 49,391,890,915.29/209,967.80
  6. Step 6: Final answer
    x = 235,235.55

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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.