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Finding the Fourth Proportional to 158,521.56, 218,723.82 and 107,541.24

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Solution

The fourth proportional to 158,521.56, 218,723.82 and 107,541.24 is: 148,382.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,521.56 : 218,723.82 = 107,541.24 : x
  2. Step 2: Convert to fraction form
    158,521.56/218,723.82 = 107,541.24/x
  3. Step 3: Cross multiply
    158,521.56x = 218,723.82 × 107,541.24
  4. Step 4: Simplify right side
    158,521.56x = 23,521,830,820.34
  5. Step 5: Solve for x
    x = 23,521,830,820.34/158,521.56
  6. Step 6: Final answer
    x = 148,382.53

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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.