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Finding the Fourth Proportional to 209,711.60, 314,874.60 and 147,657.20

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Solution

The fourth proportional to 209,711.60, 314,874.60 and 147,657.20 is: 221,702.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,711.60 : 314,874.60 = 147,657.20 : x
  2. Step 2: Convert to fraction form
    209,711.60/314,874.60 = 147,657.20/x
  3. Step 3: Cross multiply
    209,711.60x = 314,874.60 × 147,657.20
  4. Step 4: Simplify right side
    209,711.60x = 46,493,501,787.12
  5. Step 5: Solve for x
    x = 46,493,501,787.12/209,711.60
  6. Step 6: Final answer
    x = 221,702.10

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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.