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Finding the Fourth Proportional to 146,907.60, 202,728.87 and 85,664.94

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Solution

The fourth proportional to 146,907.60, 202,728.87 and 85,664.94 is: 118,215.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,907.60 : 202,728.87 = 85,664.94 : x
  2. Step 2: Convert to fraction form
    146,907.60/202,728.87 = 85,664.94/x
  3. Step 3: Cross multiply
    146,907.60x = 202,728.87 × 85,664.94
  4. Step 4: Simplify right side
    146,907.60x = 17,366,756,484.82
  5. Step 5: Solve for x
    x = 17,366,756,484.82/146,907.60
  6. Step 6: Final answer
    x = 118,215.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.