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Finding the Fourth Proportional to 78,302.73, 117,349.47 and 40,784.07

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Solution

The fourth proportional to 78,302.73, 117,349.47 and 40,784.07 is: 61,121.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,302.73 : 117,349.47 = 40,784.07 : x
  2. Step 2: Convert to fraction form
    78,302.73/117,349.47 = 40,784.07/x
  3. Step 3: Cross multiply
    78,302.73x = 117,349.47 × 40,784.07
  4. Step 4: Simplify right side
    78,302.73x = 4,785,988,998.94
  5. Step 5: Solve for x
    x = 4,785,988,998.94/78,302.73
  6. Step 6: Final answer
    x = 61,121.61

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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.