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Finding the Fourth Proportional to 127,443.04, 175,880.64 and 76,458

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Solution

The fourth proportional to 127,443.04, 175,880.64 and 76,458 is: 105,517.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,443.04 : 175,880.64 = 76,458 : x
  2. Step 2: Convert to fraction form
    127,443.04/175,880.64 = 76,458/x
  3. Step 3: Cross multiply
    127,443.04x = 175,880.64 × 76,458
  4. Step 4: Simplify right side
    127,443.04x = 13,447,481,973.12
  5. Step 5: Solve for x
    x = 13,447,481,973.12/127,443.04
  6. Step 6: Final answer
    x = 105,517.59

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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.