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Finding the Fourth Proportional to 90,978.68, 136,403.44 and 34,771.40

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Solution

The fourth proportional to 90,978.68, 136,403.44 and 34,771.40 is: 52,132.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,978.68 : 136,403.44 = 34,771.40 : x
  2. Step 2: Convert to fraction form
    90,978.68/136,403.44 = 34,771.40/x
  3. Step 3: Cross multiply
    90,978.68x = 136,403.44 × 34,771.40
  4. Step 4: Simplify right side
    90,978.68x = 4,742,938,573.62
  5. Step 5: Solve for x
    x = 4,742,938,573.62/90,978.68
  6. Step 6: Final answer
    x = 52,132.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.