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Finding the Fourth Proportional to 105,422.70, 145,484.40 and 57,675

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Solution

The fourth proportional to 105,422.70, 145,484.40 and 57,675 is: 79,592.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,422.70 : 145,484.40 = 57,675 : x
  2. Step 2: Convert to fraction form
    105,422.70/145,484.40 = 57,675/x
  3. Step 3: Cross multiply
    105,422.70x = 145,484.40 × 57,675
  4. Step 4: Simplify right side
    105,422.70x = 8,390,812,770
  5. Step 5: Solve for x
    x = 8,390,812,770/105,422.70
  6. Step 6: Final answer
    x = 79,592.09

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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.