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Finding the Fourth Proportional to 140,149.80, 210,224.70 and 77,164.20

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Solution

The fourth proportional to 140,149.80, 210,224.70 and 77,164.20 is: 115,746.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,149.80 : 210,224.70 = 77,164.20 : x
  2. Step 2: Convert to fraction form
    140,149.80/210,224.70 = 77,164.20/x
  3. Step 3: Cross multiply
    140,149.80x = 210,224.70 × 77,164.20
  4. Step 4: Simplify right side
    140,149.80x = 16,221,820,795.74
  5. Step 5: Solve for x
    x = 16,221,820,795.74/140,149.80
  6. Step 6: Final answer
    x = 115,746.30

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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.