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Finding the Fourth Proportional to 117,691.16, 162,421.35 and 66,013.11

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Solution

The fourth proportional to 117,691.16, 162,421.35 and 66,013.11 is: 91,102.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,691.16 : 162,421.35 = 66,013.11 : x
  2. Step 2: Convert to fraction form
    117,691.16/162,421.35 = 66,013.11/x
  3. Step 3: Cross multiply
    117,691.16x = 162,421.35 × 66,013.11
  4. Step 4: Simplify right side
    117,691.16x = 10,721,938,443.90
  5. Step 5: Solve for x
    x = 10,721,938,443.90/117,691.16
  6. Step 6: Final answer
    x = 91,102.33

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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.