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Finding the Fourth Proportional to 145,618.48, 200,991.48 and 89,077.24

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Solution

The fourth proportional to 145,618.48, 200,991.48 and 89,077.24 is: 122,949.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,618.48 : 200,991.48 = 89,077.24 : x
  2. Step 2: Convert to fraction form
    145,618.48/200,991.48 = 89,077.24/x
  3. Step 3: Cross multiply
    145,618.48x = 200,991.48 × 89,077.24
  4. Step 4: Simplify right side
    145,618.48x = 17,903,766,301.92
  5. Step 5: Solve for x
    x = 17,903,766,301.92/145,618.48
  6. Step 6: Final answer
    x = 122,949.82

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1.5x scale

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.