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Finding the Fourth Proportional to 75,687.75, 104,449.10 and 42,153.75

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Solution

The fourth proportional to 75,687.75, 104,449.10 and 42,153.75 is: 58,172.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,687.75 : 104,449.10 = 42,153.75 : x
  2. Step 2: Convert to fraction form
    75,687.75/104,449.10 = 42,153.75/x
  3. Step 3: Cross multiply
    75,687.75x = 104,449.10 × 42,153.75
  4. Step 4: Simplify right side
    75,687.75x = 4,402,921,038.36
  5. Step 5: Solve for x
    x = 4,402,921,038.36/75,687.75
  6. Step 6: Final answer
    x = 58,172.18

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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.