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Finding the Fourth Proportional to 138,379, 190,951.68 and 77,930.32

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Solution

The fourth proportional to 138,379, 190,951.68 and 77,930.32 is: 107,537.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,379 : 190,951.68 = 77,930.32 : x
  2. Step 2: Convert to fraction form
    138,379/190,951.68 = 77,930.32/x
  3. Step 3: Cross multiply
    138,379x = 190,951.68 × 77,930.32
  4. Step 4: Simplify right side
    138,379x = 14,880,925,526.94
  5. Step 5: Solve for x
    x = 14,880,925,526.94/138,379
  6. Step 6: Final answer
    x = 107,537.46

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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.