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Finding the Fourth Proportional to 54,700, 75,486 and 29,549.50

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Solution

The fourth proportional to 54,700, 75,486 and 29,549.50 is: 40,778.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,700 : 75,486 = 29,549.50 : x
  2. Step 2: Convert to fraction form
    54,700/75,486 = 29,549.50/x
  3. Step 3: Cross multiply
    54,700x = 75,486 × 29,549.50
  4. Step 4: Simplify right side
    54,700x = 2,230,573,557
  5. Step 5: Solve for x
    x = 2,230,573,557/54,700
  6. Step 6: Final answer
    x = 40,778.31

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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.