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Finding the Fourth Proportional to 99,938.40, 149,734.80 and 47,234.40

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Solution

The fourth proportional to 99,938.40, 149,734.80 and 47,234.40 is: 70,769.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,938.40 : 149,734.80 = 47,234.40 : x
  2. Step 2: Convert to fraction form
    99,938.40/149,734.80 = 47,234.40/x
  3. Step 3: Cross multiply
    99,938.40x = 149,734.80 × 47,234.40
  4. Step 4: Simplify right side
    99,938.40x = 7,072,633,437.12
  5. Step 5: Solve for x
    x = 7,072,633,437.12/99,938.40
  6. Step 6: Final answer
    x = 70,769.93

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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.