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Finding the Fourth Proportional to 89,782.81, 123,897.09 and 48,946.09

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Solution

The fourth proportional to 89,782.81, 123,897.09 and 48,946.09 is: 67,543.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,782.81 : 123,897.09 = 48,946.09 : x
  2. Step 2: Convert to fraction form
    89,782.81/123,897.09 = 48,946.09/x
  3. Step 3: Cross multiply
    89,782.81x = 123,897.09 × 48,946.09
  4. Step 4: Simplify right side
    89,782.81x = 6,064,278,117.88
  5. Step 5: Solve for x
    x = 6,064,278,117.88/89,782.81
  6. Step 6: Final answer
    x = 67,543.87

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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.