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Finding the Fourth Proportional to 67,683.88, 93,305.91 and 47,478.07

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Solution

The fourth proportional to 67,683.88, 93,305.91 and 47,478.07 is: 65,451.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,683.88 : 93,305.91 = 47,478.07 : x
  2. Step 2: Convert to fraction form
    67,683.88/93,305.91 = 47,478.07/x
  3. Step 3: Cross multiply
    67,683.88x = 93,305.91 × 47,478.07
  4. Step 4: Simplify right side
    67,683.88x = 4,429,984,526.39
  5. Step 5: Solve for x
    x = 4,429,984,526.39/67,683.88
  6. Step 6: Final answer
    x = 65,451.10

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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.