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Finding the Fourth Proportional to 108,045.78, 149,105.15 and 59,653.45

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Solution

The fourth proportional to 108,045.78, 149,105.15 and 59,653.45 is: 82,322.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,045.78 : 149,105.15 = 59,653.45 : x
  2. Step 2: Convert to fraction form
    108,045.78/149,105.15 = 59,653.45/x
  3. Step 3: Cross multiply
    108,045.78x = 149,105.15 × 59,653.45
  4. Step 4: Simplify right side
    108,045.78x = 8,894,636,610.27
  5. Step 5: Solve for x
    x = 8,894,636,610.27/108,045.78
  6. Step 6: Final answer
    x = 82,322.85

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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.