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Finding the Fourth Proportional to 117,874.68, 162,688.14 and 75,431.76

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Solution

The fourth proportional to 117,874.68, 162,688.14 and 75,431.76 is: 104,109.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,874.68 : 162,688.14 = 75,431.76 : x
  2. Step 2: Convert to fraction form
    117,874.68/162,688.14 = 75,431.76/x
  3. Step 3: Cross multiply
    117,874.68x = 162,688.14 × 75,431.76
  4. Step 4: Simplify right side
    117,874.68x = 12,271,852,731.33
  5. Step 5: Solve for x
    x = 12,271,852,731.33/117,874.68
  6. Step 6: Final answer
    x = 104,109.32

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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.