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Finding the Fourth Proportional to 78,972, 118,476.72 and 23,569.44

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Solution

The fourth proportional to 78,972, 118,476.72 and 23,569.44 is: 35,359.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,972 : 118,476.72 = 23,569.44 : x
  2. Step 2: Convert to fraction form
    78,972/118,476.72 = 23,569.44/x
  3. Step 3: Cross multiply
    78,972x = 118,476.72 × 23,569.44
  4. Step 4: Simplify right side
    78,972x = 2,792,429,943.44
  5. Step 5: Solve for x
    x = 2,792,429,943.44/78,972
  6. Step 6: Final answer
    x = 35,359.75

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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.