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Finding the Fourth Proportional to 69,970.25, 104,955.84 and 25,578.74

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Solution

The fourth proportional to 69,970.25, 104,955.84 and 25,578.74 is: 38,368.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,970.25 : 104,955.84 = 25,578.74 : x
  2. Step 2: Convert to fraction form
    69,970.25/104,955.84 = 25,578.74/x
  3. Step 3: Cross multiply
    69,970.25x = 104,955.84 × 25,578.74
  4. Step 4: Simplify right side
    69,970.25x = 2,684,637,618.06
  5. Step 5: Solve for x
    x = 2,684,637,618.06/69,970.25
  6. Step 6: Final answer
    x = 38,368.28

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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.