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Finding the Fourth Proportional to 71,940.16, 99,278.65 and 39,678.48

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Solution

The fourth proportional to 71,940.16, 99,278.65 and 39,678.48 is: 54,756.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,940.16 : 99,278.65 = 39,678.48 : x
  2. Step 2: Convert to fraction form
    71,940.16/99,278.65 = 39,678.48/x
  3. Step 3: Cross multiply
    71,940.16x = 99,278.65 × 39,678.48
  4. Step 4: Simplify right side
    71,940.16x = 3,939,225,928.45
  5. Step 5: Solve for x
    x = 3,939,225,928.45/71,940.16
  6. Step 6: Final answer
    x = 54,756.98

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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.