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Finding the Fourth Proportional to 156,205.79, 215,565.01 and 84,585.81

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Solution

The fourth proportional to 156,205.79, 215,565.01 and 84,585.81 is: 116,728.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,205.79 : 215,565.01 = 84,585.81 : x
  2. Step 2: Convert to fraction form
    156,205.79/215,565.01 = 84,585.81/x
  3. Step 3: Cross multiply
    156,205.79x = 215,565.01 × 84,585.81
  4. Step 4: Simplify right side
    156,205.79x = 18,233,740,767.04
  5. Step 5: Solve for x
    x = 18,233,740,767.04/156,205.79
  6. Step 6: Final answer
    x = 116,728.97

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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.