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Finding the Fourth Proportional to 92,516.40, 138,742.20 and 48,128.40

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Solution

The fourth proportional to 92,516.40, 138,742.20 and 48,128.40 is: 72,175.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,516.40 : 138,742.20 = 48,128.40 : x
  2. Step 2: Convert to fraction form
    92,516.40/138,742.20 = 48,128.40/x
  3. Step 3: Cross multiply
    92,516.40x = 138,742.20 × 48,128.40
  4. Step 4: Simplify right side
    92,516.40x = 6,677,440,098.48
  5. Step 5: Solve for x
    x = 6,677,440,098.48/92,516.40
  6. Step 6: Final answer
    x = 72,175.75

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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.