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Finding the Fourth Proportional to 84,894.10, 127,248.15 and 42,706.90

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Solution

The fourth proportional to 84,894.10, 127,248.15 and 42,706.90 is: 64,013.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,894.10 : 127,248.15 = 42,706.90 : x
  2. Step 2: Convert to fraction form
    84,894.10/127,248.15 = 42,706.90/x
  3. Step 3: Cross multiply
    84,894.10x = 127,248.15 × 42,706.90
  4. Step 4: Simplify right side
    84,894.10x = 5,434,374,017.24
  5. Step 5: Solve for x
    x = 5,434,374,017.24/84,894.10
  6. Step 6: Final answer
    x = 64,013.57

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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.