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Finding the Fourth Proportional to 78,412, 117,564.54 and 25,813.84

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Solution

The fourth proportional to 78,412, 117,564.54 and 25,813.84 is: 38,703.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,412 : 117,564.54 = 25,813.84 : x
  2. Step 2: Convert to fraction form
    78,412/117,564.54 = 25,813.84/x
  3. Step 3: Cross multiply
    78,412x = 117,564.54 × 25,813.84
  4. Step 4: Simplify right side
    78,412x = 3,034,792,225.23
  5. Step 5: Solve for x
    x = 3,034,792,225.23/78,412
  6. Step 6: Final answer
    x = 38,703.16

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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.