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Finding the Fourth Proportional to 109,488.30, 163,904.40 and 65,092.20

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Solution

The fourth proportional to 109,488.30, 163,904.40 and 65,092.20 is: 97,443.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,488.30 : 163,904.40 = 65,092.20 : x
  2. Step 2: Convert to fraction form
    109,488.30/163,904.40 = 65,092.20/x
  3. Step 3: Cross multiply
    109,488.30x = 163,904.40 × 65,092.20
  4. Step 4: Simplify right side
    109,488.30x = 10,668,897,985.68
  5. Step 5: Solve for x
    x = 10,668,897,985.68/109,488.30
  6. Step 6: Final answer
    x = 97,443.27

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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.