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Finding the Fourth Proportional to 65,868.16, 90,898.28 and 35,653.47

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Solution

The fourth proportional to 65,868.16, 90,898.28 and 35,653.47 is: 49,201.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,868.16 : 90,898.28 = 35,653.47 : x
  2. Step 2: Convert to fraction form
    65,868.16/90,898.28 = 35,653.47/x
  3. Step 3: Cross multiply
    65,868.16x = 90,898.28 × 35,653.47
  4. Step 4: Simplify right side
    65,868.16x = 3,240,838,644.54
  5. Step 5: Solve for x
    x = 3,240,838,644.54/65,868.16
  6. Step 6: Final answer
    x = 49,201.90

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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.