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Finding the Fourth Proportional to 137,945, 190,364.32 and 78,329

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Solution

The fourth proportional to 137,945, 190,364.32 and 78,329 is: 108,094.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,945 : 190,364.32 = 78,329 : x
  2. Step 2: Convert to fraction form
    137,945/190,364.32 = 78,329/x
  3. Step 3: Cross multiply
    137,945x = 190,364.32 × 78,329
  4. Step 4: Simplify right side
    137,945x = 14,911,046,821.28
  5. Step 5: Solve for x
    x = 14,911,046,821.28/137,945
  6. Step 6: Final answer
    x = 108,094.14

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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.