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Finding the Fourth Proportional to 164,657.10, 246,640.05 and 90,698.70

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Solution

The fourth proportional to 164,657.10, 246,640.05 and 90,698.70 is: 135,857.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,657.10 : 246,640.05 = 90,698.70 : x
  2. Step 2: Convert to fraction form
    164,657.10/246,640.05 = 90,698.70/x
  3. Step 3: Cross multiply
    164,657.10x = 246,640.05 × 90,698.70
  4. Step 4: Simplify right side
    164,657.10x = 22,369,931,902.94
  5. Step 5: Solve for x
    x = 22,369,931,902.94/164,657.10
  6. Step 6: Final answer
    x = 135,857.68

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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.