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Finding the Fourth Proportional to 156,139, 234,214.98 and 45,331

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Solution

The fourth proportional to 156,139, 234,214.98 and 45,331 is: 67,998.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,139 : 234,214.98 = 45,331 : x
  2. Step 2: Convert to fraction form
    156,139/234,214.98 = 45,331/x
  3. Step 3: Cross multiply
    156,139x = 234,214.98 × 45,331
  4. Step 4: Simplify right side
    156,139x = 10,617,199,258.38
  5. Step 5: Solve for x
    x = 10,617,199,258.38/156,139
  6. Step 6: Final answer
    x = 67,998.38

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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.