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Finding the Fourth Proportional to 137,411, 189,627.18 and 77,795

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Solution

The fourth proportional to 137,411, 189,627.18 and 77,795 is: 107,357.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,411 : 189,627.18 = 77,795 : x
  2. Step 2: Convert to fraction form
    137,411/189,627.18 = 77,795/x
  3. Step 3: Cross multiply
    137,411x = 189,627.18 × 77,795
  4. Step 4: Simplify right side
    137,411x = 14,752,046,468.10
  5. Step 5: Solve for x
    x = 14,752,046,468.10/137,411
  6. Step 6: Final answer
    x = 107,357.10

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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.