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Finding the Fourth Proportional to 84,702.30, 127,021.19 and 28,527.32

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Solution

The fourth proportional to 84,702.30, 127,021.19 and 28,527.32 is: 42,780.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,702.30 : 127,021.19 = 28,527.32 : x
  2. Step 2: Convert to fraction form
    84,702.30/127,021.19 = 28,527.32/x
  3. Step 3: Cross multiply
    84,702.30x = 127,021.19 × 28,527.32
  4. Step 4: Simplify right side
    84,702.30x = 3,623,573,356.17
  5. Step 5: Solve for x
    x = 3,623,573,356.17/84,702.30
  6. Step 6: Final answer
    x = 42,780.11

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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.