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Finding the Fourth Proportional to 103,960.40, 155,681.40 and 83,224.40

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Solution

The fourth proportional to 103,960.40, 155,681.40 and 83,224.40 is: 124,629.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,960.40 : 155,681.40 = 83,224.40 : x
  2. Step 2: Convert to fraction form
    103,960.40/155,681.40 = 83,224.40/x
  3. Step 3: Cross multiply
    103,960.40x = 155,681.40 × 83,224.40
  4. Step 4: Simplify right side
    103,960.40x = 12,956,491,106.16
  5. Step 5: Solve for x
    x = 12,956,491,106.16/103,960.40
  6. Step 6: Final answer
    x = 124,629.10

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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.