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Finding the Fourth Proportional to 148,571.32, 222,915.32 and 65,407

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Solution

The fourth proportional to 148,571.32, 222,915.32 and 65,407 is: 98,136.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,571.32 : 222,915.32 = 65,407 : x
  2. Step 2: Convert to fraction form
    148,571.32/222,915.32 = 65,407/x
  3. Step 3: Cross multiply
    148,571.32x = 222,915.32 × 65,407
  4. Step 4: Simplify right side
    148,571.32x = 14,580,222,335.24
  5. Step 5: Solve for x
    x = 14,580,222,335.24/148,571.32
  6. Step 6: Final answer
    x = 98,136.18

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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.