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Finding the Fourth Proportional to 85,902.54, 128,875.74 and 26,738.65

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Solution

The fourth proportional to 85,902.54, 128,875.74 and 26,738.65 is: 40,114.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,902.54 : 128,875.74 = 26,738.65 : x
  2. Step 2: Convert to fraction form
    85,902.54/128,875.74 = 26,738.65/x
  3. Step 3: Cross multiply
    85,902.54x = 128,875.74 × 26,738.65
  4. Step 4: Simplify right side
    85,902.54x = 3,445,963,305.35
  5. Step 5: Solve for x
    x = 3,445,963,305.35/85,902.54
  6. Step 6: Final answer
    x = 40,114.80

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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.