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Finding the Fourth Proportional to 135,657.90, 203,486.85 and 61,929.90

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Solution

The fourth proportional to 135,657.90, 203,486.85 and 61,929.90 is: 92,894.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,657.90 : 203,486.85 = 61,929.90 : x
  2. Step 2: Convert to fraction form
    135,657.90/203,486.85 = 61,929.90/x
  3. Step 3: Cross multiply
    135,657.90x = 203,486.85 × 61,929.90
  4. Step 4: Simplify right side
    135,657.90x = 12,601,920,271.82
  5. Step 5: Solve for x
    x = 12,601,920,271.82/135,657.90
  6. Step 6: Final answer
    x = 92,894.85

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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.