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Finding the Fourth Proportional to 91,786.61, 137,457.60 and 46,689.32

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Solution

The fourth proportional to 91,786.61, 137,457.60 and 46,689.32 is: 69,920.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,786.61 : 137,457.60 = 46,689.32 : x
  2. Step 2: Convert to fraction form
    91,786.61/137,457.60 = 46,689.32/x
  3. Step 3: Cross multiply
    91,786.61x = 137,457.60 × 46,689.32
  4. Step 4: Simplify right side
    91,786.61x = 6,417,801,185.54
  5. Step 5: Solve for x
    x = 6,417,801,185.54/91,786.61
  6. Step 6: Final answer
    x = 69,920.89

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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.