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Finding the Fourth Proportional to 78,006.84, 107,662.14 and 57,996.60

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Solution

The fourth proportional to 78,006.84, 107,662.14 and 57,996.60 is: 80,044.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,006.84 : 107,662.14 = 57,996.60 : x
  2. Step 2: Convert to fraction form
    78,006.84/107,662.14 = 57,996.60/x
  3. Step 3: Cross multiply
    78,006.84x = 107,662.14 × 57,996.60
  4. Step 4: Simplify right side
    78,006.84x = 6,244,038,068.72
  5. Step 5: Solve for x
    x = 6,244,038,068.72/78,006.84
  6. Step 6: Final answer
    x = 80,044.75

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1.5x scale

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.