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Finding the Fourth Proportional to 70,853.76, 97,747.20 and 42,543

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Solution

The fourth proportional to 70,853.76, 97,747.20 and 42,543 is: 58,690.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,853.76 : 97,747.20 = 42,543 : x
  2. Step 2: Convert to fraction form
    70,853.76/97,747.20 = 42,543/x
  3. Step 3: Cross multiply
    70,853.76x = 97,747.20 × 42,543
  4. Step 4: Simplify right side
    70,853.76x = 4,158,459,129.60
  5. Step 5: Solve for x
    x = 4,158,459,129.60/70,853.76
  6. Step 6: Final answer
    x = 58,690.73

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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.