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Finding the Fourth Proportional to 70,029, 105,043.50 and 20,781

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Solution

The fourth proportional to 70,029, 105,043.50 and 20,781 is: 31,171.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,029 : 105,043.50 = 20,781 : x
  2. Step 2: Convert to fraction form
    70,029/105,043.50 = 20,781/x
  3. Step 3: Cross multiply
    70,029x = 105,043.50 × 20,781
  4. Step 4: Simplify right side
    70,029x = 2,182,908,973.50
  5. Step 5: Solve for x
    x = 2,182,908,973.50/70,029
  6. Step 6: Final answer
    x = 31,171.50

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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.