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Finding the Fourth Proportional to 191,713.12, 287,697.66 and 67,054.12

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Solution

The fourth proportional to 191,713.12, 287,697.66 and 67,054.12 is: 100,625.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,713.12 : 287,697.66 = 67,054.12 : x
  2. Step 2: Convert to fraction form
    191,713.12/287,697.66 = 67,054.12/x
  3. Step 3: Cross multiply
    191,713.12x = 287,697.66 × 67,054.12
  4. Step 4: Simplify right side
    191,713.12x = 19,291,313,417.36
  5. Step 5: Solve for x
    x = 19,291,313,417.36/191,713.12
  6. Step 6: Final answer
    x = 100,625.94

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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.