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Finding the Fourth Proportional to 159,254.64, 219,697.92 and 102,684.24

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Solution

The fourth proportional to 159,254.64, 219,697.92 and 102,684.24 is: 141,656.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,254.64 : 219,697.92 = 102,684.24 : x
  2. Step 2: Convert to fraction form
    159,254.64/219,697.92 = 102,684.24/x
  3. Step 3: Cross multiply
    159,254.64x = 219,697.92 × 102,684.24
  4. Step 4: Simplify right side
    159,254.64x = 22,559,513,944.78
  5. Step 5: Solve for x
    x = 22,559,513,944.78/159,254.64
  6. Step 6: Final answer
    x = 141,656.87

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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.