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Finding the Fourth Proportional to 72,894, 109,282.32 and 31,370.16

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Solution

The fourth proportional to 72,894, 109,282.32 and 31,370.16 is: 47,029.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,894 : 109,282.32 = 31,370.16 : x
  2. Step 2: Convert to fraction form
    72,894/109,282.32 = 31,370.16/x
  3. Step 3: Cross multiply
    72,894x = 109,282.32 × 31,370.16
  4. Step 4: Simplify right side
    72,894x = 3,428,203,863.57
  5. Step 5: Solve for x
    x = 3,428,203,863.57/72,894
  6. Step 6: Final answer
    x = 47,029.99

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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.