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Finding the Fourth Proportional to 53,287.60, 79,825.80 and 46,721.20

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Solution

The fourth proportional to 53,287.60, 79,825.80 and 46,721.20 is: 69,989.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,287.60 : 79,825.80 = 46,721.20 : x
  2. Step 2: Convert to fraction form
    53,287.60/79,825.80 = 46,721.20/x
  3. Step 3: Cross multiply
    53,287.60x = 79,825.80 × 46,721.20
  4. Step 4: Simplify right side
    53,287.60x = 3,729,557,166.96
  5. Step 5: Solve for x
    x = 3,729,557,166.96/53,287.60
  6. Step 6: Final answer
    x = 69,989.21

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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.