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Finding the Fourth Proportional to 81,866.98, 112,990.24 and 47,406.70

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Solution

The fourth proportional to 81,866.98, 112,990.24 and 47,406.70 is: 65,429.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,866.98 : 112,990.24 = 47,406.70 : x
  2. Step 2: Convert to fraction form
    81,866.98/112,990.24 = 47,406.70/x
  3. Step 3: Cross multiply
    81,866.98x = 112,990.24 × 47,406.70
  4. Step 4: Simplify right side
    81,866.98x = 5,356,494,410.61
  5. Step 5: Solve for x
    x = 5,356,494,410.61/81,866.98
  6. Step 6: Final answer
    x = 65,429.24

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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.