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Finding the Fourth Proportional to 151,135.56, 208,543.98 and 90,693

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Solution

The fourth proportional to 151,135.56, 208,543.98 and 90,693 is: 125,142.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,135.56 : 208,543.98 = 90,693 : x
  2. Step 2: Convert to fraction form
    151,135.56/208,543.98 = 90,693/x
  3. Step 3: Cross multiply
    151,135.56x = 208,543.98 × 90,693
  4. Step 4: Simplify right side
    151,135.56x = 18,913,479,178.14
  5. Step 5: Solve for x
    x = 18,913,479,178.14/151,135.56
  6. Step 6: Final answer
    x = 125,142.48

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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.