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Finding the Fourth Proportional to 65,702.80, 90,678.27 and 43,060.96

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Solution

The fourth proportional to 65,702.80, 90,678.27 and 43,060.96 is: 59,429.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,702.80 : 90,678.27 = 43,060.96 : x
  2. Step 2: Convert to fraction form
    65,702.80/90,678.27 = 43,060.96/x
  3. Step 3: Cross multiply
    65,702.80x = 90,678.27 × 43,060.96
  4. Step 4: Simplify right side
    65,702.80x = 3,904,693,357.34
  5. Step 5: Solve for x
    x = 3,904,693,357.34/65,702.80
  6. Step 6: Final answer
    x = 59,429.63

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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.