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Finding the Fourth Proportional to 118,396, 163,386.48 and 65,404

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Solution

The fourth proportional to 118,396, 163,386.48 and 65,404 is: 90,257.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,396 : 163,386.48 = 65,404 : x
  2. Step 2: Convert to fraction form
    118,396/163,386.48 = 65,404/x
  3. Step 3: Cross multiply
    118,396x = 163,386.48 × 65,404
  4. Step 4: Simplify right side
    118,396x = 10,686,129,337.92
  5. Step 5: Solve for x
    x = 10,686,129,337.92/118,396
  6. Step 6: Final answer
    x = 90,257.52

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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.