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Finding the Fourth Proportional to 103,662, 143,066.16 and 58,356.96

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Solution

The fourth proportional to 103,662, 143,066.16 and 58,356.96 is: 80,539.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,662 : 143,066.16 = 58,356.96 : x
  2. Step 2: Convert to fraction form
    103,662/143,066.16 = 58,356.96/x
  3. Step 3: Cross multiply
    103,662x = 143,066.16 × 58,356.96
  4. Step 4: Simplify right side
    103,662x = 8,348,906,176.47
  5. Step 5: Solve for x
    x = 8,348,906,176.47/103,662
  6. Step 6: Final answer
    x = 80,539.70

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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.