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Finding the Fourth Proportional to 78,987.64, 109,003.16 and 43,178.08

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Solution

The fourth proportional to 78,987.64, 109,003.16 and 43,178.08 is: 59,585.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,987.64 : 109,003.16 = 43,178.08 : x
  2. Step 2: Convert to fraction form
    78,987.64/109,003.16 = 43,178.08/x
  3. Step 3: Cross multiply
    78,987.64x = 109,003.16 × 43,178.08
  4. Step 4: Simplify right side
    78,987.64x = 4,706,547,162.73
  5. Step 5: Solve for x
    x = 4,706,547,162.73/78,987.64
  6. Step 6: Final answer
    x = 59,585.87

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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.