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Finding the Fourth Proportional to 127,140, 175,453.20 and 82,428

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Solution

The fourth proportional to 127,140, 175,453.20 and 82,428 is: 113,750.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,140 : 175,453.20 = 82,428 : x
  2. Step 2: Convert to fraction form
    127,140/175,453.20 = 82,428/x
  3. Step 3: Cross multiply
    127,140x = 175,453.20 × 82,428
  4. Step 4: Simplify right side
    127,140x = 14,462,256,369.60
  5. Step 5: Solve for x
    x = 14,462,256,369.60/127,140
  6. Step 6: Final answer
    x = 113,750.64

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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.