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Finding the Fourth Proportional to 212,700.96, 318,972 and 70,520.16

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Solution

The fourth proportional to 212,700.96, 318,972 and 70,520.16 is: 105,753.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,700.96 : 318,972 = 70,520.16 : x
  2. Step 2: Convert to fraction form
    212,700.96/318,972 = 70,520.16/x
  3. Step 3: Cross multiply
    212,700.96x = 318,972 × 70,520.16
  4. Step 4: Simplify right side
    212,700.96x = 22,493,956,475.52
  5. Step 5: Solve for x
    x = 22,493,956,475.52/212,700.96
  6. Step 6: Final answer
    x = 105,753.90

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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.