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Finding the Fourth Proportional to 216,864.94, 299,275.14 and 121,380.52

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Solution

The fourth proportional to 216,864.94, 299,275.14 and 121,380.52 is: 167,505.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,864.94 : 299,275.14 = 121,380.52 : x
  2. Step 2: Convert to fraction form
    216,864.94/299,275.14 = 121,380.52/x
  3. Step 3: Cross multiply
    216,864.94x = 299,275.14 × 121,380.52
  4. Step 4: Simplify right side
    216,864.94x = 36,326,172,116.27
  5. Step 5: Solve for x
    x = 36,326,172,116.27/216,864.94
  6. Step 6: Final answer
    x = 167,505.97

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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.