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Finding the Fourth Proportional to 127,776.88, 176,332 and 74,093.12

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Solution

The fourth proportional to 127,776.88, 176,332 and 74,093.12 is: 102,248.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,776.88 : 176,332 = 74,093.12 : x
  2. Step 2: Convert to fraction form
    127,776.88/176,332 = 74,093.12/x
  3. Step 3: Cross multiply
    127,776.88x = 176,332 × 74,093.12
  4. Step 4: Simplify right side
    127,776.88x = 13,064,988,035.84
  5. Step 5: Solve for x
    x = 13,064,988,035.84/127,776.88
  6. Step 6: Final answer
    x = 102,248.45

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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.