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Finding the Fourth Proportional to 75,572.50, 104,290.66 and 42,038.50

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Solution

The fourth proportional to 75,572.50, 104,290.66 and 42,038.50 is: 58,013.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,572.50 : 104,290.66 = 42,038.50 : x
  2. Step 2: Convert to fraction form
    75,572.50/104,290.66 = 42,038.50/x
  3. Step 3: Cross multiply
    75,572.50x = 104,290.66 × 42,038.50
  4. Step 4: Simplify right side
    75,572.50x = 4,384,222,910.41
  5. Step 5: Solve for x
    x = 4,384,222,910.41/75,572.50
  6. Step 6: Final answer
    x = 58,013.47

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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.