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Finding the Fourth Proportional to 78,987.16, 109,004.22 and 43,178.68

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Solution

The fourth proportional to 78,987.16, 109,004.22 and 43,178.68 is: 59,587.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,987.16 : 109,004.22 = 43,178.68 : x
  2. Step 2: Convert to fraction form
    78,987.16/109,004.22 = 43,178.68/x
  3. Step 3: Cross multiply
    78,987.16x = 109,004.22 × 43,178.68
  4. Step 4: Simplify right side
    78,987.16x = 4,706,658,334.03
  5. Step 5: Solve for x
    x = 4,706,658,334.03/78,987.16
  6. Step 6: Final answer
    x = 59,587.64

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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.