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Finding the Fourth Proportional to 145,003.20, 217,095.20 and 140,907.20

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Solution

The fourth proportional to 145,003.20, 217,095.20 and 140,907.20 is: 210,962.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,003.20 : 217,095.20 = 140,907.20 : x
  2. Step 2: Convert to fraction form
    145,003.20/217,095.20 = 140,907.20/x
  3. Step 3: Cross multiply
    145,003.20x = 217,095.20 × 140,907.20
  4. Step 4: Simplify right side
    145,003.20x = 30,590,276,765.44
  5. Step 5: Solve for x
    x = 30,590,276,765.44/145,003.20
  6. Step 6: Final answer
    x = 210,962.77

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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.