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Finding the Fourth Proportional to 61.52, 91.93 and 47.00

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Solution

The fourth proportional to 61.52, 91.93 and 47.00 is: 70.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.52 : 91.93 = 47.00 : x
  2. Step 2: Convert to fraction form
    61.52/91.93 = 47.00/x
  3. Step 3: Cross multiply
    61.52x = 91.93 × 47.00
  4. Step 4: Simplify right side
    61.52x = 4,320.02
  5. Step 5: Solve for x
    x = 4,320.02/61.52
  6. Step 6: Final answer
    x = 70.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.