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Finding the Fourth Proportional to 105,497.43, 158,136.80 and 65,963.76

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Solution

The fourth proportional to 105,497.43, 158,136.80 and 65,963.76 is: 98,877.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,497.43 : 158,136.80 = 65,963.76 : x
  2. Step 2: Convert to fraction form
    105,497.43/158,136.80 = 65,963.76/x
  3. Step 3: Cross multiply
    105,497.43x = 158,136.80 × 65,963.76
  4. Step 4: Simplify right side
    105,497.43x = 10,431,297,592.55
  5. Step 5: Solve for x
    x = 10,431,297,592.55/105,497.43
  6. Step 6: Final answer
    x = 98,877.27

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1.5x scale

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.