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Finding the Fourth Proportional to 70,437.52, 105,671.94 and 23,689

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Solution

The fourth proportional to 70,437.52, 105,671.94 and 23,689 is: 35,538.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,437.52 : 105,671.94 = 23,689 : x
  2. Step 2: Convert to fraction form
    70,437.52/105,671.94 = 23,689/x
  3. Step 3: Cross multiply
    70,437.52x = 105,671.94 × 23,689
  4. Step 4: Simplify right side
    70,437.52x = 2,503,262,586.66
  5. Step 5: Solve for x
    x = 2,503,262,586.66/70,437.52
  6. Step 6: Final answer
    x = 35,538.77

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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.