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Finding the Fourth Proportional to 172,972.10, 260,041.35 and 147,311.30

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Solution

The fourth proportional to 172,972.10, 260,041.35 and 147,311.30 is: 221,463.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,972.10 : 260,041.35 = 147,311.30 : x
  2. Step 2: Convert to fraction form
    172,972.10/260,041.35 = 147,311.30/x
  3. Step 3: Cross multiply
    172,972.10x = 260,041.35 × 147,311.30
  4. Step 4: Simplify right side
    172,972.10x = 38,307,029,322.26
  5. Step 5: Solve for x
    x = 38,307,029,322.26/172,972.10
  6. Step 6: Final answer
    x = 221,463.63

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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.