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Finding the Fourth Proportional to 107,938.12, 160,821.95 and 101,902

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Solution

The fourth proportional to 107,938.12, 160,821.95 and 101,902 is: 151,828.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,938.12 : 160,821.95 = 101,902 : x
  2. Step 2: Convert to fraction form
    107,938.12/160,821.95 = 101,902/x
  3. Step 3: Cross multiply
    107,938.12x = 160,821.95 × 101,902
  4. Step 4: Simplify right side
    107,938.12x = 16,388,078,348.90
  5. Step 5: Solve for x
    x = 16,388,078,348.90/107,938.12
  6. Step 6: Final answer
    x = 151,828.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.