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Finding the Fourth Proportional to 65,341.62, 90,138.20 and 42,693.87

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Solution

The fourth proportional to 65,341.62, 90,138.20 and 42,693.87 is: 58,895.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,341.62 : 90,138.20 = 42,693.87 : x
  2. Step 2: Convert to fraction form
    65,341.62/90,138.20 = 42,693.87/x
  3. Step 3: Cross multiply
    65,341.62x = 90,138.20 × 42,693.87
  4. Step 4: Simplify right side
    65,341.62x = 3,848,348,379.36
  5. Step 5: Solve for x
    x = 3,848,348,379.36/65,341.62
  6. Step 6: Final answer
    x = 58,895.82

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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.