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Finding the Fourth Proportional to 189,897.98, 261,980.06 and 109,306.22

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Solution

The fourth proportional to 189,897.98, 261,980.06 and 109,306.22 is: 150,797.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,897.98 : 261,980.06 = 109,306.22 : x
  2. Step 2: Convert to fraction form
    189,897.98/261,980.06 = 109,306.22/x
  3. Step 3: Cross multiply
    189,897.98x = 261,980.06 × 109,306.22
  4. Step 4: Simplify right side
    189,897.98x = 28,636,050,073.97
  5. Step 5: Solve for x
    x = 28,636,050,073.97/189,897.98
  6. Step 6: Final answer
    x = 150,797.02

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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.