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Finding the Fourth Proportional to 155,172, 214,137.36 and 84,516

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Solution

The fourth proportional to 155,172, 214,137.36 and 84,516 is: 116,632.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,172 : 214,137.36 = 84,516 : x
  2. Step 2: Convert to fraction form
    155,172/214,137.36 = 84,516/x
  3. Step 3: Cross multiply
    155,172x = 214,137.36 × 84,516
  4. Step 4: Simplify right side
    155,172x = 18,098,033,117.76
  5. Step 5: Solve for x
    x = 18,098,033,117.76/155,172
  6. Step 6: Final answer
    x = 116,632.08

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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.