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Finding the Fourth Proportional to 78,678.76, 108,617.74 and 61,414.06

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Solution

The fourth proportional to 78,678.76, 108,617.74 and 61,414.06 is: 84,783.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,678.76 : 108,617.74 = 61,414.06 : x
  2. Step 2: Convert to fraction form
    78,678.76/108,617.74 = 61,414.06/x
  3. Step 3: Cross multiply
    78,678.76x = 108,617.74 × 61,414.06
  4. Step 4: Simplify right side
    78,678.76x = 6,670,655,551.27
  5. Step 5: Solve for x
    x = 6,670,655,551.27/78,678.76
  6. Step 6: Final answer
    x = 84,783.44

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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.