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Finding the Fourth Proportional to 158,306, 218,462.28 and 91,242.32

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Solution

The fourth proportional to 158,306, 218,462.28 and 91,242.32 is: 125,914.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,306 : 218,462.28 = 91,242.32 : x
  2. Step 2: Convert to fraction form
    158,306/218,462.28 = 91,242.32/x
  3. Step 3: Cross multiply
    158,306x = 218,462.28 × 91,242.32
  4. Step 4: Simplify right side
    158,306x = 19,933,005,259.69
  5. Step 5: Solve for x
    x = 19,933,005,259.69/158,306
  6. Step 6: Final answer
    x = 125,914.40

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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.