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Finding the Fourth Proportional to 231,062.46, 318,834.64 and 129,075.32

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Solution

The fourth proportional to 231,062.46, 318,834.64 and 129,075.32 is: 178,106.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,062.46 : 318,834.64 = 129,075.32 : x
  2. Step 2: Convert to fraction form
    231,062.46/318,834.64 = 129,075.32/x
  3. Step 3: Cross multiply
    231,062.46x = 318,834.64 × 129,075.32
  4. Step 4: Simplify right side
    231,062.46x = 41,153,683,185.08
  5. Step 5: Solve for x
    x = 41,153,683,185.08/231,062.46
  6. Step 6: Final answer
    x = 178,106.31

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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.