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Finding the Fourth Proportional to 90,223.84, 135,342.24 and 27,886.24

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Solution

The fourth proportional to 90,223.84, 135,342.24 and 27,886.24 is: 41,831.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,223.84 : 135,342.24 = 27,886.24 : x
  2. Step 2: Convert to fraction form
    90,223.84/135,342.24 = 27,886.24/x
  3. Step 3: Cross multiply
    90,223.84x = 135,342.24 × 27,886.24
  4. Step 4: Simplify right side
    90,223.84x = 3,774,186,186.78
  5. Step 5: Solve for x
    x = 3,774,186,186.78/90,223.84
  6. Step 6: Final answer
    x = 41,831.36

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1.5x scale

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.