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Finding the Fourth Proportional to 117,413, 161,923.01 and 99,301.67

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Solution

The fourth proportional to 117,413, 161,923.01 and 99,301.67 is: 136,945.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,413 : 161,923.01 = 99,301.67 : x
  2. Step 2: Convert to fraction form
    117,413/161,923.01 = 99,301.67/x
  3. Step 3: Cross multiply
    117,413x = 161,923.01 × 99,301.67
  4. Step 4: Simplify right side
    117,413x = 16,079,225,304.43
  5. Step 5: Solve for x
    x = 16,079,225,304.43/117,413
  6. Step 6: Final answer
    x = 136,945.87

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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.