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Finding the Fourth Proportional to 70,531.52, 105,813.12 and 23,783

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Solution

The fourth proportional to 70,531.52, 105,813.12 and 23,783 is: 35,679.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,531.52 : 105,813.12 = 23,783 : x
  2. Step 2: Convert to fraction form
    70,531.52/105,813.12 = 23,783/x
  3. Step 3: Cross multiply
    70,531.52x = 105,813.12 × 23,783
  4. Step 4: Simplify right side
    70,531.52x = 2,516,553,432.96
  5. Step 5: Solve for x
    x = 2,516,553,432.96/70,531.52
  6. Step 6: Final answer
    x = 35,679.84

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1.5x scale

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.