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Finding the Fourth Proportional to 159,422.40, 219,986.64 and 98,158.86

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Solution

The fourth proportional to 159,422.40, 219,986.64 and 98,158.86 is: 135,449.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,422.40 : 219,986.64 = 98,158.86 : x
  2. Step 2: Convert to fraction form
    159,422.40/219,986.64 = 98,158.86/x
  3. Step 3: Cross multiply
    159,422.40x = 219,986.64 × 98,158.86
  4. Step 4: Simplify right side
    159,422.40x = 21,593,638,254.48
  5. Step 5: Solve for x
    x = 21,593,638,254.48/159,422.40
  6. Step 6: Final answer
    x = 135,449.21

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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.