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Finding the Fourth Proportional to 77,111.40, 115,436.70 and 45,930.60

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Solution

The fourth proportional to 77,111.40, 115,436.70 and 45,930.60 is: 68,758.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,111.40 : 115,436.70 = 45,930.60 : x
  2. Step 2: Convert to fraction form
    77,111.40/115,436.70 = 45,930.60/x
  3. Step 3: Cross multiply
    77,111.40x = 115,436.70 × 45,930.60
  4. Step 4: Simplify right side
    77,111.40x = 5,302,076,893.02
  5. Step 5: Solve for x
    x = 5,302,076,893.02/77,111.40
  6. Step 6: Final answer
    x = 68,758.66

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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.