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Finding the Fourth Proportional to 78,717.69, 118,041.71 and 22,545

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Solution

The fourth proportional to 78,717.69, 118,041.71 and 22,545 is: 33,807.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,717.69 : 118,041.71 = 22,545 : x
  2. Step 2: Convert to fraction form
    78,717.69/118,041.71 = 22,545/x
  3. Step 3: Cross multiply
    78,717.69x = 118,041.71 × 22,545
  4. Step 4: Simplify right side
    78,717.69x = 2,661,250,239.23
  5. Step 5: Solve for x
    x = 2,661,250,239.23/78,717.69
  6. Step 6: Final answer
    x = 33,807.52

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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.