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Finding the Fourth Proportional to 191,526, 287,289 and 60,198

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Solution

The fourth proportional to 191,526, 287,289 and 60,198 is: 90,297

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,526 : 287,289 = 60,198 : x
  2. Step 2: Convert to fraction form
    191,526/287,289 = 60,198/x
  3. Step 3: Cross multiply
    191,526x = 287,289 × 60,198
  4. Step 4: Simplify right side
    191,526x = 17,294,223,222
  5. Step 5: Solve for x
    x = 17,294,223,222/191,526
  6. Step 6: Final answer
    x = 90,297

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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.