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Finding the Fourth Proportional to 127,148, 175,464.24 and 82,436

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Solution

The fourth proportional to 127,148, 175,464.24 and 82,436 is: 113,761.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,148 : 175,464.24 = 82,436 : x
  2. Step 2: Convert to fraction form
    127,148/175,464.24 = 82,436/x
  3. Step 3: Cross multiply
    127,148x = 175,464.24 × 82,436
  4. Step 4: Simplify right side
    127,148x = 14,464,570,088.64
  5. Step 5: Solve for x
    x = 14,464,570,088.64/127,148
  6. Step 6: Final answer
    x = 113,761.68

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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.