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Finding the Fourth Proportional to 107,938.30, 161,907.45 and 97,440.70

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Solution

The fourth proportional to 107,938.30, 161,907.45 and 97,440.70 is: 146,161.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,938.30 : 161,907.45 = 97,440.70 : x
  2. Step 2: Convert to fraction form
    107,938.30/161,907.45 = 97,440.70/x
  3. Step 3: Cross multiply
    107,938.30x = 161,907.45 × 97,440.70
  4. Step 4: Simplify right side
    107,938.30x = 15,776,375,263.22
  5. Step 5: Solve for x
    x = 15,776,375,263.22/107,938.30
  6. Step 6: Final answer
    x = 146,161.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.