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Finding the Fourth Proportional to 145,253.25, 217,888.08 and 51,759

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Solution

The fourth proportional to 145,253.25, 217,888.08 and 51,759 is: 77,641.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,253.25 : 217,888.08 = 51,759 : x
  2. Step 2: Convert to fraction form
    145,253.25/217,888.08 = 51,759/x
  3. Step 3: Cross multiply
    145,253.25x = 217,888.08 × 51,759
  4. Step 4: Simplify right side
    145,253.25x = 11,277,668,938.62
  5. Step 5: Solve for x
    x = 11,277,668,938.62/145,253.25
  6. Step 6: Final answer
    x = 77,641.42

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1.5x scale

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.