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Finding the Fourth Proportional to 42,751.80, 64,160.10 and 27,955.80

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Solution

The fourth proportional to 42,751.80, 64,160.10 and 27,955.80 is: 41,954.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,751.80 : 64,160.10 = 27,955.80 : x
  2. Step 2: Convert to fraction form
    42,751.80/64,160.10 = 27,955.80/x
  3. Step 3: Cross multiply
    42,751.80x = 64,160.10 × 27,955.80
  4. Step 4: Simplify right side
    42,751.80x = 1,793,646,923.58
  5. Step 5: Solve for x
    x = 1,793,646,923.58/42,751.80
  6. Step 6: Final answer
    x = 41,954.89

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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.