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Finding the Fourth Proportional to 189,012.38, 260,937.20 and 145,899.11

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Solution

The fourth proportional to 189,012.38, 260,937.20 and 145,899.11 is: 201,418.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,012.38 : 260,937.20 = 145,899.11 : x
  2. Step 2: Convert to fraction form
    189,012.38/260,937.20 = 145,899.11/x
  3. Step 3: Cross multiply
    189,012.38x = 260,937.20 × 145,899.11
  4. Step 4: Simplify right side
    189,012.38x = 38,070,503,211.71
  5. Step 5: Solve for x
    x = 38,070,503,211.71/189,012.38
  6. Step 6: Final answer
    x = 201,418.05

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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.