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Finding the Fourth Proportional to 78,389.73, 108,176.81 and 42,580.89

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Solution

The fourth proportional to 78,389.73, 108,176.81 and 42,580.89 is: 58,761.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,389.73 : 108,176.81 = 42,580.89 : x
  2. Step 2: Convert to fraction form
    78,389.73/108,176.81 = 42,580.89/x
  3. Step 3: Cross multiply
    78,389.73x = 108,176.81 × 42,580.89
  4. Step 4: Simplify right side
    78,389.73x = 4,606,264,634.26
  5. Step 5: Solve for x
    x = 4,606,264,634.26/78,389.73
  6. Step 6: Final answer
    x = 58,761.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.