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Finding the Fourth Proportional to 153,261.96, 211,469.80 and 89,587.44

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Solution

The fourth proportional to 153,261.96, 211,469.80 and 89,587.44 is: 123,612.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,261.96 : 211,469.80 = 89,587.44 : x
  2. Step 2: Convert to fraction form
    153,261.96/211,469.80 = 89,587.44/x
  3. Step 3: Cross multiply
    153,261.96x = 211,469.80 × 89,587.44
  4. Step 4: Simplify right side
    153,261.96x = 18,945,038,019.31
  5. Step 5: Solve for x
    x = 18,945,038,019.31/153,261.96
  6. Step 6: Final answer
    x = 123,612.13

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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.