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Finding the Fourth Proportional to 78,449, 117,673.50 and 23,045

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Solution

The fourth proportional to 78,449, 117,673.50 and 23,045 is: 34,567.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,449 : 117,673.50 = 23,045 : x
  2. Step 2: Convert to fraction form
    78,449/117,673.50 = 23,045/x
  3. Step 3: Cross multiply
    78,449x = 117,673.50 × 23,045
  4. Step 4: Simplify right side
    78,449x = 2,711,785,807.50
  5. Step 5: Solve for x
    x = 2,711,785,807.50/78,449
  6. Step 6: Final answer
    x = 34,567.50

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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.