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Finding the Fourth Proportional to 153,857.70, 230,851.35 and 83,787.30

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Solution

The fourth proportional to 153,857.70, 230,851.35 and 83,787.30 is: 125,716.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,857.70 : 230,851.35 = 83,787.30 : x
  2. Step 2: Convert to fraction form
    153,857.70/230,851.35 = 83,787.30/x
  3. Step 3: Cross multiply
    153,857.70x = 230,851.35 × 83,787.30
  4. Step 4: Simplify right side
    153,857.70x = 19,342,411,317.86
  5. Step 5: Solve for x
    x = 19,342,411,317.86/153,857.70
  6. Step 6: Final answer
    x = 125,716.24

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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.