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Finding the Fourth Proportional to 75,821.50, 104,633.67 and 42,287.50

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Solution

The fourth proportional to 75,821.50, 104,633.67 and 42,287.50 is: 58,356.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,821.50 : 104,633.67 = 42,287.50 : x
  2. Step 2: Convert to fraction form
    75,821.50/104,633.67 = 42,287.50/x
  3. Step 3: Cross multiply
    75,821.50x = 104,633.67 × 42,287.50
  4. Step 4: Simplify right side
    75,821.50x = 4,424,696,320.13
  5. Step 5: Solve for x
    x = 4,424,696,320.13/75,821.50
  6. Step 6: Final answer
    x = 58,356.75

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1.5x scale

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.