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Finding the Fourth Proportional to 67,617, 93,315.78 and 37,809

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Solution

The fourth proportional to 67,617, 93,315.78 and 37,809 is: 52,178.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,617 : 93,315.78 = 37,809 : x
  2. Step 2: Convert to fraction form
    67,617/93,315.78 = 37,809/x
  3. Step 3: Cross multiply
    67,617x = 93,315.78 × 37,809
  4. Step 4: Simplify right side
    67,617x = 3,528,176,326.02
  5. Step 5: Solve for x
    x = 3,528,176,326.02/67,617
  6. Step 6: Final answer
    x = 52,178.84

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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.