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Finding the Fourth Proportional to 31,209.60, 46,929.60 and 26,140.80

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Solution

The fourth proportional to 31,209.60, 46,929.60 and 26,140.80 is: 39,307.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,209.60 : 46,929.60 = 26,140.80 : x
  2. Step 2: Convert to fraction form
    31,209.60/46,929.60 = 26,140.80/x
  3. Step 3: Cross multiply
    31,209.60x = 46,929.60 × 26,140.80
  4. Step 4: Simplify right side
    31,209.60x = 1,226,777,287.68
  5. Step 5: Solve for x
    x = 1,226,777,287.68/31,209.60
  6. Step 6: Final answer
    x = 39,307.69

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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.