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Finding the Fourth Proportional to 78,291.66, 108,039.51 and 42,480.48

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Solution

The fourth proportional to 78,291.66, 108,039.51 and 42,480.48 is: 58,621.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,291.66 : 108,039.51 = 42,480.48 : x
  2. Step 2: Convert to fraction form
    78,291.66/108,039.51 = 42,480.48/x
  3. Step 3: Cross multiply
    78,291.66x = 108,039.51 × 42,480.48
  4. Step 4: Simplify right side
    78,291.66x = 4,589,570,243.76
  5. Step 5: Solve for x
    x = 4,589,570,243.76/78,291.66
  6. Step 6: Final answer
    x = 58,621.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.