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Finding the Fourth Proportional to 72,916, 100,624.16 and 39,382.08

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Solution

The fourth proportional to 72,916, 100,624.16 and 39,382.08 is: 54,347.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,916 : 100,624.16 = 39,382.08 : x
  2. Step 2: Convert to fraction form
    72,916/100,624.16 = 39,382.08/x
  3. Step 3: Cross multiply
    72,916x = 100,624.16 × 39,382.08
  4. Step 4: Simplify right side
    72,916x = 3,962,788,719.05
  5. Step 5: Solve for x
    x = 3,962,788,719.05/72,916
  6. Step 6: Final answer
    x = 54,347.31

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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.