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Finding the Fourth Proportional to 90,374.56, 135,498.60 and 65,090.40

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Solution

The fourth proportional to 90,374.56, 135,498.60 and 65,090.40 is: 97,590.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,374.56 : 135,498.60 = 65,090.40 : x
  2. Step 2: Convert to fraction form
    90,374.56/135,498.60 = 65,090.40/x
  3. Step 3: Cross multiply
    90,374.56x = 135,498.60 × 65,090.40
  4. Step 4: Simplify right side
    90,374.56x = 8,819,658,073.44
  5. Step 5: Solve for x
    x = 8,819,658,073.44/90,374.56
  6. Step 6: Final answer
    x = 97,590.05

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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.