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Finding the Fourth Proportional to 105,463.75, 145,388.68 and 75,196.58

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Solution

The fourth proportional to 105,463.75, 145,388.68 and 75,196.58 is: 103,663.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,463.75 : 145,388.68 = 75,196.58 : x
  2. Step 2: Convert to fraction form
    105,463.75/145,388.68 = 75,196.58/x
  3. Step 3: Cross multiply
    105,463.75x = 145,388.68 × 75,196.58
  4. Step 4: Simplify right side
    105,463.75x = 10,932,731,529.41
  5. Step 5: Solve for x
    x = 10,932,731,529.41/105,463.75
  6. Step 6: Final answer
    x = 103,663.41

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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.