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Finding the Fourth Proportional to 75,687.06, 104,448.15 and 42,153.06

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Solution

The fourth proportional to 75,687.06, 104,448.15 and 42,153.06 is: 58,171.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,687.06 : 104,448.15 = 42,153.06 : x
  2. Step 2: Convert to fraction form
    75,687.06/104,448.15 = 42,153.06/x
  3. Step 3: Cross multiply
    75,687.06x = 104,448.15 × 42,153.06
  4. Step 4: Simplify right side
    75,687.06x = 4,402,809,133.84
  5. Step 5: Solve for x
    x = 4,402,809,133.84/75,687.06
  6. Step 6: Final answer
    x = 58,171.23

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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.