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Finding the Fourth Proportional to 75,506.40, 113,262 and 19,346.88

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Solution

The fourth proportional to 75,506.40, 113,262 and 19,346.88 is: 29,020.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,506.40 : 113,262 = 19,346.88 : x
  2. Step 2: Convert to fraction form
    75,506.40/113,262 = 19,346.88/x
  3. Step 3: Cross multiply
    75,506.40x = 113,262 × 19,346.88
  4. Step 4: Simplify right side
    75,506.40x = 2,191,266,322.56
  5. Step 5: Solve for x
    x = 2,191,266,322.56/75,506.40
  6. Step 6: Final answer
    x = 29,020.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.