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Finding the Fourth Proportional to 210,242.64, 315,471.48 and 99,404.88

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Solution

The fourth proportional to 210,242.64, 315,471.48 and 99,404.88 is: 149,158.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,242.64 : 315,471.48 = 99,404.88 : x
  2. Step 2: Convert to fraction form
    210,242.64/315,471.48 = 99,404.88/x
  3. Step 3: Cross multiply
    210,242.64x = 315,471.48 × 99,404.88
  4. Step 4: Simplify right side
    210,242.64x = 31,359,404,612.82
  5. Step 5: Solve for x
    x = 31,359,404,612.82/210,242.64
  6. Step 6: Final answer
    x = 149,158.16

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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.