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Finding the Fourth Proportional to 189,497, 284,225.34 and 100,656.20

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Solution

The fourth proportional to 189,497, 284,225.34 and 100,656.20 is: 150,973.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,497 : 284,225.34 = 100,656.20 : x
  2. Step 2: Convert to fraction form
    189,497/284,225.34 = 100,656.20/x
  3. Step 3: Cross multiply
    189,497x = 284,225.34 × 100,656.20
  4. Step 4: Simplify right side
    189,497x = 28,609,042,668.11
  5. Step 5: Solve for x
    x = 28,609,042,668.11/189,497
  6. Step 6: Final answer
    x = 150,973.59

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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.