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Finding the Fourth Proportional to 135,594.10, 203,423.55 and 65,415.70

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Solution

The fourth proportional to 135,594.10, 203,423.55 and 65,415.70 is: 98,139.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,594.10 : 203,423.55 = 65,415.70 : x
  2. Step 2: Convert to fraction form
    135,594.10/203,423.55 = 65,415.70/x
  3. Step 3: Cross multiply
    135,594.10x = 203,423.55 × 65,415.70
  4. Step 4: Simplify right side
    135,594.10x = 13,307,093,919.74
  5. Step 5: Solve for x
    x = 13,307,093,919.74/135,594.10
  6. Step 6: Final answer
    x = 98,139.18

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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.