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Finding the Fourth Proportional to 140,144.80, 210,152.40 and 61,218.40

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Solution

The fourth proportional to 140,144.80, 210,152.40 and 61,218.40 is: 91,799.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,144.80 : 210,152.40 = 61,218.40 : x
  2. Step 2: Convert to fraction form
    140,144.80/210,152.40 = 61,218.40/x
  3. Step 3: Cross multiply
    140,144.80x = 210,152.40 × 61,218.40
  4. Step 4: Simplify right side
    140,144.80x = 12,865,193,684.16
  5. Step 5: Solve for x
    x = 12,865,193,684.16/140,144.80
  6. Step 6: Final answer
    x = 91,799.29

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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.