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Finding the Fourth Proportional to 162,031.92, 243,103.80 and 67,312.98

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Solution

The fourth proportional to 162,031.92, 243,103.80 and 67,312.98 is: 100,992.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,031.92 : 243,103.80 = 67,312.98 : x
  2. Step 2: Convert to fraction form
    162,031.92/243,103.80 = 67,312.98/x
  3. Step 3: Cross multiply
    162,031.92x = 243,103.80 × 67,312.98
  4. Step 4: Simplify right side
    162,031.92x = 16,364,041,227.32
  5. Step 5: Solve for x
    x = 16,364,041,227.32/162,031.92
  6. Step 6: Final answer
    x = 100,992.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.