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Finding the Fourth Proportional to 89,694, 123,777.75 and 51,990.12

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Solution

The fourth proportional to 89,694, 123,777.75 and 51,990.12 is: 71,746.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,694 : 123,777.75 = 51,990.12 : x
  2. Step 2: Convert to fraction form
    89,694/123,777.75 = 51,990.12/x
  3. Step 3: Cross multiply
    89,694x = 123,777.75 × 51,990.12
  4. Step 4: Simplify right side
    89,694x = 6,435,220,075.83
  5. Step 5: Solve for x
    x = 6,435,220,075.83/89,694
  6. Step 6: Final answer
    x = 71,746.38

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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.