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Finding the Fourth Proportional to 90,437.56, 135,675.80 and 30,472

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Solution

The fourth proportional to 90,437.56, 135,675.80 and 30,472 is: 45,714.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,437.56 : 135,675.80 = 30,472 : x
  2. Step 2: Convert to fraction form
    90,437.56/135,675.80 = 30,472/x
  3. Step 3: Cross multiply
    90,437.56x = 135,675.80 × 30,472
  4. Step 4: Simplify right side
    90,437.56x = 4,134,312,977.60
  5. Step 5: Solve for x
    x = 4,134,312,977.60/90,437.56
  6. Step 6: Final answer
    x = 45,714.56

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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.