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Finding the Fourth Proportional to 142,647.84, 214,016.54 and 85,787.19

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Solution

The fourth proportional to 142,647.84, 214,016.54 and 85,787.19 is: 128,707.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,647.84 : 214,016.54 = 85,787.19 : x
  2. Step 2: Convert to fraction form
    142,647.84/214,016.54 = 85,787.19/x
  3. Step 3: Cross multiply
    142,647.84x = 214,016.54 × 85,787.19
  4. Step 4: Simplify right side
    142,647.84x = 18,359,877,151.19
  5. Step 5: Solve for x
    x = 18,359,877,151.19/142,647.84
  6. Step 6: Final answer
    x = 128,707.71

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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.