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Finding the Fourth Proportional to 189,689.85, 284,574.06 and 77,370.39

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Solution

The fourth proportional to 189,689.85, 284,574.06 and 77,370.39 is: 116,071.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,689.85 : 284,574.06 = 77,370.39 : x
  2. Step 2: Convert to fraction form
    189,689.85/284,574.06 = 77,370.39/x
  3. Step 3: Cross multiply
    189,689.85x = 284,574.06 × 77,370.39
  4. Step 4: Simplify right side
    189,689.85x = 22,017,606,006.08
  5. Step 5: Solve for x
    x = 22,017,606,006.08/189,689.85
  6. Step 6: Final answer
    x = 116,071.61

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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.