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Finding the Fourth Proportional to 158,278.64, 218,415.87 and 86,644.81

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Solution

The fourth proportional to 158,278.64, 218,415.87 and 86,644.81 is: 119,565.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,278.64 : 218,415.87 = 86,644.81 : x
  2. Step 2: Convert to fraction form
    158,278.64/218,415.87 = 86,644.81/x
  3. Step 3: Cross multiply
    158,278.64x = 218,415.87 × 86,644.81
  4. Step 4: Simplify right side
    158,278.64x = 18,924,601,011.10
  5. Step 5: Solve for x
    x = 18,924,601,011.10/158,278.64
  6. Step 6: Final answer
    x = 119,565.10

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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.