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Finding the Fourth Proportional to 61,369.12, 84,744.84 and 38,748.16

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Solution

The fourth proportional to 61,369.12, 84,744.84 and 38,748.16 is: 53,507.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,369.12 : 84,744.84 = 38,748.16 : x
  2. Step 2: Convert to fraction form
    61,369.12/84,744.84 = 38,748.16/x
  3. Step 3: Cross multiply
    61,369.12x = 84,744.84 × 38,748.16
  4. Step 4: Simplify right side
    61,369.12x = 3,283,706,619.49
  5. Step 5: Solve for x
    x = 3,283,706,619.49/61,369.12
  6. Step 6: Final answer
    x = 53,507.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.