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Finding the Fourth Proportional to 230,781.68, 318,457.15 and 133,959.85

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Solution

The fourth proportional to 230,781.68, 318,457.15 and 133,959.85 is: 184,852.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,781.68 : 318,457.15 = 133,959.85 : x
  2. Step 2: Convert to fraction form
    230,781.68/318,457.15 = 133,959.85/x
  3. Step 3: Cross multiply
    230,781.68x = 318,457.15 × 133,959.85
  4. Step 4: Simplify right side
    230,781.68x = 42,660,472,045.43
  5. Step 5: Solve for x
    x = 42,660,472,045.43/230,781.68
  6. Step 6: Final answer
    x = 184,852.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.