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Finding the Fourth Proportional to 53,949.38, 74,482.09 and 47,964.50

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Solution

The fourth proportional to 53,949.38, 74,482.09 and 47,964.50 is: 66,219.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,949.38 : 74,482.09 = 47,964.50 : x
  2. Step 2: Convert to fraction form
    53,949.38/74,482.09 = 47,964.50/x
  3. Step 3: Cross multiply
    53,949.38x = 74,482.09 × 47,964.50
  4. Step 4: Simplify right side
    53,949.38x = 3,572,495,713.48
  5. Step 5: Solve for x
    x = 3,572,495,713.48/53,949.38
  6. Step 6: Final answer
    x = 66,219.40

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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.