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Finding the Fourth Proportional to 153,959.80, 230,973.30 and 87,431.80

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Solution

The fourth proportional to 153,959.80, 230,973.30 and 87,431.80 is: 131,166.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,959.80 : 230,973.30 = 87,431.80 : x
  2. Step 2: Convert to fraction form
    153,959.80/230,973.30 = 87,431.80/x
  3. Step 3: Cross multiply
    153,959.80x = 230,973.30 × 87,431.80
  4. Step 4: Simplify right side
    153,959.80x = 20,194,411,370.94
  5. Step 5: Solve for x
    x = 20,194,411,370.94/153,959.80
  6. Step 6: Final answer
    x = 131,166.78

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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.