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Finding the Fourth Proportional to 212,158.83, 318,238.25 and 99,769.17

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Solution

The fourth proportional to 212,158.83, 318,238.25 and 99,769.17 is: 149,653.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,158.83 : 318,238.25 = 99,769.17 : x
  2. Step 2: Convert to fraction form
    212,158.83/318,238.25 = 99,769.17/x
  3. Step 3: Cross multiply
    212,158.83x = 318,238.25 × 99,769.17
  4. Step 4: Simplify right side
    212,158.83x = 31,750,365,565.91
  5. Step 5: Solve for x
    x = 31,750,365,565.91/212,158.83
  6. Step 6: Final answer
    x = 149,653.76

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1.5x scale

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.