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Finding the Fourth Proportional to 100,108.78, 138,136.49 and 59,814.01

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Solution

The fourth proportional to 100,108.78, 138,136.49 and 59,814.01 is: 82,535.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,108.78 : 138,136.49 = 59,814.01 : x
  2. Step 2: Convert to fraction form
    100,108.78/138,136.49 = 59,814.01/x
  3. Step 3: Cross multiply
    100,108.78x = 138,136.49 × 59,814.01
  4. Step 4: Simplify right side
    100,108.78x = 8,262,497,492.13
  5. Step 5: Solve for x
    x = 8,262,497,492.13/100,108.78
  6. Step 6: Final answer
    x = 82,535.20

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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.