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Finding the Fourth Proportional to 78,991, 118,505.94 and 23,587

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Solution

The fourth proportional to 78,991, 118,505.94 and 23,587 is: 35,386.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,991 : 118,505.94 = 23,587 : x
  2. Step 2: Convert to fraction form
    78,991/118,505.94 = 23,587/x
  3. Step 3: Cross multiply
    78,991x = 118,505.94 × 23,587
  4. Step 4: Simplify right side
    78,991x = 2,795,199,606.78
  5. Step 5: Solve for x
    x = 2,795,199,606.78/78,991
  6. Step 6: Final answer
    x = 35,386.30

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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.