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Finding the Fourth Proportional to 140,291.39, 210,437.09 and 51,506.48

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Solution

The fourth proportional to 140,291.39, 210,437.09 and 51,506.48 is: 77,259.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,291.39 : 210,437.09 = 51,506.48 : x
  2. Step 2: Convert to fraction form
    140,291.39/210,437.09 = 51,506.48/x
  3. Step 3: Cross multiply
    140,291.39x = 210,437.09 × 51,506.48
  4. Step 4: Simplify right side
    140,291.39x = 10,838,874,229.05
  5. Step 5: Solve for x
    x = 10,838,874,229.05/140,291.39
  6. Step 6: Final answer
    x = 77,259.72

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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.