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Finding the Fourth Proportional to 71,409.51, 98,543.61 and 39,578.13

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Solution

The fourth proportional to 71,409.51, 98,543.61 and 39,578.13 is: 54,616.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,409.51 : 98,543.61 = 39,578.13 : x
  2. Step 2: Convert to fraction form
    71,409.51/98,543.61 = 39,578.13/x
  3. Step 3: Cross multiply
    71,409.51x = 98,543.61 × 39,578.13
  4. Step 4: Simplify right side
    71,409.51x = 3,900,171,807.25
  5. Step 5: Solve for x
    x = 3,900,171,807.25/71,409.51
  6. Step 6: Final answer
    x = 54,616.98

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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.