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Finding the Fourth Proportional to 185,897.67, 256,517.96 and 105,307.94

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Solution

The fourth proportional to 185,897.67, 256,517.96 and 105,307.94 is: 145,313.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,897.67 : 256,517.96 = 105,307.94 : x
  2. Step 2: Convert to fraction form
    185,897.67/256,517.96 = 105,307.94/x
  3. Step 3: Cross multiply
    185,897.67x = 256,517.96 × 105,307.94
  4. Step 4: Simplify right side
    185,897.67x = 27,013,376,921.28
  5. Step 5: Solve for x
    x = 27,013,376,921.28/185,897.67
  6. Step 6: Final answer
    x = 145,313.15

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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.