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Finding the Fourth Proportional to 153,690.49, 230,542.80 and 57,650.66

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Solution

The fourth proportional to 153,690.49, 230,542.80 and 57,650.66 is: 86,478.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,690.49 : 230,542.80 = 57,650.66 : x
  2. Step 2: Convert to fraction form
    153,690.49/230,542.80 = 57,650.66/x
  3. Step 3: Cross multiply
    153,690.49x = 230,542.80 × 57,650.66
  4. Step 4: Simplify right side
    153,690.49x = 13,290,944,073.88
  5. Step 5: Solve for x
    x = 13,290,944,073.88/153,690.49
  6. Step 6: Final answer
    x = 86,478.64

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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.