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Finding the Fourth Proportional to 140,772.80, 211,042.40 and 52,009.60

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Solution

The fourth proportional to 140,772.80, 211,042.40 and 52,009.60 is: 77,971.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,772.80 : 211,042.40 = 52,009.60 : x
  2. Step 2: Convert to fraction form
    140,772.80/211,042.40 = 52,009.60/x
  3. Step 3: Cross multiply
    140,772.80x = 211,042.40 × 52,009.60
  4. Step 4: Simplify right side
    140,772.80x = 10,976,230,807.04
  5. Step 5: Solve for x
    x = 10,976,230,807.04/140,772.80
  6. Step 6: Final answer
    x = 77,971.25

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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.