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Finding the Fourth Proportional to 261,075.60, 391,640.74 and 111,331.71

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Solution

The fourth proportional to 261,075.60, 391,640.74 and 111,331.71 is: 167,009.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,075.60 : 391,640.74 = 111,331.71 : x
  2. Step 2: Convert to fraction form
    261,075.60/391,640.74 = 111,331.71/x
  3. Step 3: Cross multiply
    261,075.60x = 391,640.74 × 111,331.71
  4. Step 4: Simplify right side
    261,075.60x = 43,602,033,011.54
  5. Step 5: Solve for x
    x = 43,602,033,011.54/261,075.60
  6. Step 6: Final answer
    x = 167,009.22

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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.