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Finding the Fourth Proportional to 73,959.36, 102,038.99 and 42,105.71

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Solution

The fourth proportional to 73,959.36, 102,038.99 and 42,105.71 is: 58,091.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,959.36 : 102,038.99 = 42,105.71 : x
  2. Step 2: Convert to fraction form
    73,959.36/102,038.99 = 42,105.71/x
  3. Step 3: Cross multiply
    73,959.36x = 102,038.99 × 42,105.71
  4. Step 4: Simplify right side
    73,959.36x = 4,296,423,400.91
  5. Step 5: Solve for x
    x = 4,296,423,400.91/73,959.36
  6. Step 6: Final answer
    x = 58,091.68

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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.