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Finding the Fourth Proportional to 205,076, 283,004.88 and 115,652

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Solution

The fourth proportional to 205,076, 283,004.88 and 115,652 is: 159,599.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,076 : 283,004.88 = 115,652 : x
  2. Step 2: Convert to fraction form
    205,076/283,004.88 = 115,652/x
  3. Step 3: Cross multiply
    205,076x = 283,004.88 × 115,652
  4. Step 4: Simplify right side
    205,076x = 32,730,080,381.76
  5. Step 5: Solve for x
    x = 32,730,080,381.76/205,076
  6. Step 6: Final answer
    x = 159,599.76

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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.