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Finding the Fourth Proportional to 78,018.84, 107,439.12 and 67,805.28

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Solution

The fourth proportional to 78,018.84, 107,439.12 and 67,805.28 is: 93,374.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,018.84 : 107,439.12 = 67,805.28 : x
  2. Step 2: Convert to fraction form
    78,018.84/107,439.12 = 67,805.28/x
  3. Step 3: Cross multiply
    78,018.84x = 107,439.12 × 67,805.28
  4. Step 4: Simplify right side
    78,018.84x = 7,284,939,614.55
  5. Step 5: Solve for x
    x = 7,284,939,614.55/78,018.84
  6. Step 6: Final answer
    x = 93,374.11

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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.