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Finding the Fourth Proportional to 140,435.20, 193,802.88 and 83,851.52

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Solution

The fourth proportional to 140,435.20, 193,802.88 and 83,851.52 is: 115,716.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,435.20 : 193,802.88 = 83,851.52 : x
  2. Step 2: Convert to fraction form
    140,435.20/193,802.88 = 83,851.52/x
  3. Step 3: Cross multiply
    140,435.20x = 193,802.88 × 83,851.52
  4. Step 4: Simplify right side
    140,435.20x = 16,250,666,068.38
  5. Step 5: Solve for x
    x = 16,250,666,068.38/140,435.20
  6. Step 6: Final answer
    x = 115,716.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.