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Finding the Fourth Proportional to 147,902.40, 221,702.40 and 72,907.20

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Solution

The fourth proportional to 147,902.40, 221,702.40 and 72,907.20 is: 109,286.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,902.40 : 221,702.40 = 72,907.20 : x
  2. Step 2: Convert to fraction form
    147,902.40/221,702.40 = 72,907.20/x
  3. Step 3: Cross multiply
    147,902.40x = 221,702.40 × 72,907.20
  4. Step 4: Simplify right side
    147,902.40x = 16,163,701,217.28
  5. Step 5: Solve for x
    x = 16,163,701,217.28/147,902.40
  6. Step 6: Final answer
    x = 109,286.27

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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.