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Finding the Fourth Proportional to 90,431.88, 136,178.43 and 78,883.08

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Solution

The fourth proportional to 90,431.88, 136,178.43 and 78,883.08 is: 118,787.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,431.88 : 136,178.43 = 78,883.08 : x
  2. Step 2: Convert to fraction form
    90,431.88/136,178.43 = 78,883.08/x
  3. Step 3: Cross multiply
    90,431.88x = 136,178.43 × 78,883.08
  4. Step 4: Simplify right side
    90,431.88x = 10,742,173,987.96
  5. Step 5: Solve for x
    x = 10,742,173,987.96/90,431.88
  6. Step 6: Final answer
    x = 118,787.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.