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Finding the Fourth Proportional to 158,228.34, 218,311.91 and 90,220.50

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Solution

The fourth proportional to 158,228.34, 218,311.91 and 90,220.50 is: 124,479.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,228.34 : 218,311.91 = 90,220.50 : x
  2. Step 2: Convert to fraction form
    158,228.34/218,311.91 = 90,220.50/x
  3. Step 3: Cross multiply
    158,228.34x = 218,311.91 × 90,220.50
  4. Step 4: Simplify right side
    158,228.34x = 19,696,209,676.16
  5. Step 5: Solve for x
    x = 19,696,209,676.16/158,228.34
  6. Step 6: Final answer
    x = 124,479.66

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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.