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Finding the Fourth Proportional to 70,865, 97,793.70 and 39,033.80

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Solution

The fourth proportional to 70,865, 97,793.70 and 39,033.80 is: 53,866.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,865 : 97,793.70 = 39,033.80 : x
  2. Step 2: Convert to fraction form
    70,865/97,793.70 = 39,033.80/x
  3. Step 3: Cross multiply
    70,865x = 97,793.70 × 39,033.80
  4. Step 4: Simplify right side
    70,865x = 3,817,259,727.06
  5. Step 5: Solve for x
    x = 3,817,259,727.06/70,865
  6. Step 6: Final answer
    x = 53,866.64

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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.