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Finding the Fourth Proportional to 40,712.54, 60,978.58 and 31,283.15

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Solution

The fourth proportional to 40,712.54, 60,978.58 and 31,283.15 is: 46,855.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,712.54 : 60,978.58 = 31,283.15 : x
  2. Step 2: Convert to fraction form
    40,712.54/60,978.58 = 31,283.15/x
  3. Step 3: Cross multiply
    40,712.54x = 60,978.58 × 31,283.15
  4. Step 4: Simplify right side
    40,712.54x = 1,907,601,681.83
  5. Step 5: Solve for x
    x = 1,907,601,681.83/40,712.54
  6. Step 6: Final answer
    x = 46,855.39

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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.