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Finding the Fourth Proportional to 261,164.66, 391,857.80 and 142,697.59

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Solution

The fourth proportional to 261,164.66, 391,857.80 and 142,697.59 is: 214,106.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,164.66 : 391,857.80 = 142,697.59 : x
  2. Step 2: Convert to fraction form
    261,164.66/391,857.80 = 142,697.59/x
  3. Step 3: Cross multiply
    261,164.66x = 391,857.80 × 142,697.59
  4. Step 4: Simplify right side
    261,164.66x = 55,917,161,989.57
  5. Step 5: Solve for x
    x = 55,917,161,989.57/261,164.66
  6. Step 6: Final answer
    x = 214,106.93

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1.5x scale

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.