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Finding the Fourth Proportional to 118,707.83, 178,075.82 and 74,338.26

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Solution

The fourth proportional to 118,707.83, 178,075.82 and 74,338.26 is: 111,516.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,707.83 : 178,075.82 = 74,338.26 : x
  2. Step 2: Convert to fraction form
    118,707.83/178,075.82 = 74,338.26/x
  3. Step 3: Cross multiply
    118,707.83x = 178,075.82 × 74,338.26
  4. Step 4: Simplify right side
    118,707.83x = 13,237,845,706.78
  5. Step 5: Solve for x
    x = 13,237,845,706.78/118,707.83
  6. Step 6: Final answer
    x = 111,516.20

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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.