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Finding the Fourth Proportional to 70,205.50, 105,308.25 and 20,957.50

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Solution

The fourth proportional to 70,205.50, 105,308.25 and 20,957.50 is: 31,436.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,205.50 : 105,308.25 = 20,957.50 : x
  2. Step 2: Convert to fraction form
    70,205.50/105,308.25 = 20,957.50/x
  3. Step 3: Cross multiply
    70,205.50x = 105,308.25 × 20,957.50
  4. Step 4: Simplify right side
    70,205.50x = 2,206,997,649.38
  5. Step 5: Solve for x
    x = 2,206,997,649.38/70,205.50
  6. Step 6: Final answer
    x = 31,436.25

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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.