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Finding the Fourth Proportional to 89,783.81, 123,898.47 and 48,947.09

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Solution

The fourth proportional to 89,783.81, 123,898.47 and 48,947.09 is: 67,545.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,783.81 : 123,898.47 = 48,947.09 : x
  2. Step 2: Convert to fraction form
    89,783.81/123,898.47 = 48,947.09/x
  3. Step 3: Cross multiply
    89,783.81x = 123,898.47 × 48,947.09
  4. Step 4: Simplify right side
    89,783.81x = 6,064,469,561.95
  5. Step 5: Solve for x
    x = 6,064,469,561.95/89,783.81
  6. Step 6: Final answer
    x = 67,545.25

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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.