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Finding the Fourth Proportional to 81,754.69, 112,852.30 and 47,774.23

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Solution

The fourth proportional to 81,754.69, 112,852.30 and 47,774.23 is: 65,946.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,754.69 : 112,852.30 = 47,774.23 : x
  2. Step 2: Convert to fraction form
    81,754.69/112,852.30 = 47,774.23/x
  3. Step 3: Cross multiply
    81,754.69x = 112,852.30 × 47,774.23
  4. Step 4: Simplify right side
    81,754.69x = 5,391,431,052.53
  5. Step 5: Solve for x
    x = 5,391,431,052.53/81,754.69
  6. Step 6: Final answer
    x = 65,946.45

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1.5x scale

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.