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Finding the Fourth Proportional to 117,402.65, 161,893.87 and 100,462.96

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Solution

The fourth proportional to 117,402.65, 161,893.87 and 100,462.96 is: 138,534.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,402.65 : 161,893.87 = 100,462.96 : x
  2. Step 2: Convert to fraction form
    117,402.65/161,893.87 = 100,462.96/x
  3. Step 3: Cross multiply
    117,402.65x = 161,893.87 × 100,462.96
  4. Step 4: Simplify right side
    117,402.65x = 16,264,337,386.06
  5. Step 5: Solve for x
    x = 16,264,337,386.06/117,402.65
  6. Step 6: Final answer
    x = 138,534.67

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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.