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Finding the Fourth Proportional to 30,501, 42,078.51 and 20,432.70

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Solution

The fourth proportional to 30,501, 42,078.51 and 20,432.70 is: 28,188.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,501 : 42,078.51 = 20,432.70 : x
  2. Step 2: Convert to fraction form
    30,501/42,078.51 = 20,432.70/x
  3. Step 3: Cross multiply
    30,501x = 42,078.51 × 20,432.70
  4. Step 4: Simplify right side
    30,501x = 859,777,571.28
  5. Step 5: Solve for x
    x = 859,777,571.28/30,501
  6. Step 6: Final answer
    x = 28,188.50

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1.5x scale

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.