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Finding the Fourth Proportional to 191,415, 287,124.93 and 66,756

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Solution

The fourth proportional to 191,415, 287,124.93 and 66,756 is: 100,134.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,415 : 287,124.93 = 66,756 : x
  2. Step 2: Convert to fraction form
    191,415/287,124.93 = 66,756/x
  3. Step 3: Cross multiply
    191,415x = 287,124.93 × 66,756
  4. Step 4: Simplify right side
    191,415x = 19,167,311,827.08
  5. Step 5: Solve for x
    x = 19,167,311,827.08/191,415
  6. Step 6: Final answer
    x = 100,134.85

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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.