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Finding the Fourth Proportional to 70,683, 105,966.92 and 39,091.80

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Solution

The fourth proportional to 70,683, 105,966.92 and 39,091.80 is: 58,605.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,683 : 105,966.92 = 39,091.80 : x
  2. Step 2: Convert to fraction form
    70,683/105,966.92 = 39,091.80/x
  3. Step 3: Cross multiply
    70,683x = 105,966.92 × 39,091.80
  4. Step 4: Simplify right side
    70,683x = 4,142,437,643.26
  5. Step 5: Solve for x
    x = 4,142,437,643.26/70,683
  6. Step 6: Final answer
    x = 58,605.85

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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.