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Finding the Fourth Proportional to 159,713.49, 219,956.13 and 156,225.90

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Solution

The fourth proportional to 159,713.49, 219,956.13 and 156,225.90 is: 215,153.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,713.49 : 219,956.13 = 156,225.90 : x
  2. Step 2: Convert to fraction form
    159,713.49/219,956.13 = 156,225.90/x
  3. Step 3: Cross multiply
    159,713.49x = 219,956.13 × 156,225.90
  4. Step 4: Simplify right side
    159,713.49x = 34,362,844,369.77
  5. Step 5: Solve for x
    x = 34,362,844,369.77/159,713.49
  6. Step 6: Final answer
    x = 215,153.05

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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.