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Finding the Fourth Proportional to 65,488, 90,373.44 and 35,680

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Solution

The fourth proportional to 65,488, 90,373.44 and 35,680 is: 49,238.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,488 : 90,373.44 = 35,680 : x
  2. Step 2: Convert to fraction form
    65,488/90,373.44 = 35,680/x
  3. Step 3: Cross multiply
    65,488x = 90,373.44 × 35,680
  4. Step 4: Simplify right side
    65,488x = 3,224,524,339.20
  5. Step 5: Solve for x
    x = 3,224,524,339.20/65,488
  6. Step 6: Final answer
    x = 49,238.40

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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.