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Finding the Fourth Proportional to 162,438.96, 243,534.96 and 112,386

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Solution

The fourth proportional to 162,438.96, 243,534.96 and 112,386 is: 168,493.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,438.96 : 243,534.96 = 112,386 : x
  2. Step 2: Convert to fraction form
    162,438.96/243,534.96 = 112,386/x
  3. Step 3: Cross multiply
    162,438.96x = 243,534.96 × 112,386
  4. Step 4: Simplify right side
    162,438.96x = 27,369,920,014.56
  5. Step 5: Solve for x
    x = 27,369,920,014.56/162,438.96
  6. Step 6: Final answer
    x = 168,493.57

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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.