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Finding the Fourth Proportional to 143,594.51, 198,182.70 and 86,265.74

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Solution

The fourth proportional to 143,594.51, 198,182.70 and 86,265.74 is: 119,060.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,594.51 : 198,182.70 = 86,265.74 : x
  2. Step 2: Convert to fraction form
    143,594.51/198,182.70 = 86,265.74/x
  3. Step 3: Cross multiply
    143,594.51x = 198,182.70 × 86,265.74
  4. Step 4: Simplify right side
    143,594.51x = 17,096,377,766.15
  5. Step 5: Solve for x
    x = 17,096,377,766.15/143,594.51
  6. Step 6: Final answer
    x = 119,060.11

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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.