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Finding the Fourth Proportional to 74,572.84, 111,864.73 and 21,984.60

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Solution

The fourth proportional to 74,572.84, 111,864.73 and 21,984.60 is: 32,978.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,572.84 : 111,864.73 = 21,984.60 : x
  2. Step 2: Convert to fraction form
    74,572.84/111,864.73 = 21,984.60/x
  3. Step 3: Cross multiply
    74,572.84x = 111,864.73 × 21,984.60
  4. Step 4: Simplify right side
    74,572.84x = 2,459,301,343.16
  5. Step 5: Solve for x
    x = 2,459,301,343.16/74,572.84
  6. Step 6: Final answer
    x = 32,978.51

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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.