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Finding the Fourth Proportional to 53,085, 79,663.95 and 21,920.52

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Solution

The fourth proportional to 53,085, 79,663.95 and 21,920.52 is: 32,895.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,085 : 79,663.95 = 21,920.52 : x
  2. Step 2: Convert to fraction form
    53,085/79,663.95 = 21,920.52/x
  3. Step 3: Cross multiply
    53,085x = 79,663.95 × 21,920.52
  4. Step 4: Simplify right side
    53,085x = 1,746,275,209.25
  5. Step 5: Solve for x
    x = 1,746,275,209.25/53,085
  6. Step 6: Final answer
    x = 32,895.83

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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.