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Finding the Fourth Proportional to 102,938.40, 154,419.12 and 32,801.76

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Solution

The fourth proportional to 102,938.40, 154,419.12 and 32,801.76 is: 49,206.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,938.40 : 154,419.12 = 32,801.76 : x
  2. Step 2: Convert to fraction form
    102,938.40/154,419.12 = 32,801.76/x
  3. Step 3: Cross multiply
    102,938.40x = 154,419.12 × 32,801.76
  4. Step 4: Simplify right side
    102,938.40x = 5,065,218,913.65
  5. Step 5: Solve for x
    x = 5,065,218,913.65/102,938.40
  6. Step 6: Final answer
    x = 49,206.31

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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.