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Finding the Fourth Proportional to 142,576.88, 214,142.11 and 104,988.50

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Solution

The fourth proportional to 142,576.88, 214,142.11 and 104,988.50 is: 157,686.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,576.88 : 214,142.11 = 104,988.50 : x
  2. Step 2: Convert to fraction form
    142,576.88/214,142.11 = 104,988.50/x
  3. Step 3: Cross multiply
    142,576.88x = 214,142.11 × 104,988.50
  4. Step 4: Simplify right side
    142,576.88x = 22,482,458,915.74
  5. Step 5: Solve for x
    x = 22,482,458,915.74/142,576.88
  6. Step 6: Final answer
    x = 157,686.57

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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.