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Finding the Fourth Proportional to 70,988.16, 106,391.78 and 37,724.16

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Solution

The fourth proportional to 70,988.16, 106,391.78 and 37,724.16 is: 56,538.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,988.16 : 106,391.78 = 37,724.16 : x
  2. Step 2: Convert to fraction form
    70,988.16/106,391.78 = 37,724.16/x
  3. Step 3: Cross multiply
    70,988.16x = 106,391.78 × 37,724.16
  4. Step 4: Simplify right side
    70,988.16x = 4,013,540,531.40
  5. Step 5: Solve for x
    x = 4,013,540,531.40/70,988.16
  6. Step 6: Final answer
    x = 56,538.17

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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.