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Finding the Fourth Proportional to 208,045.76, 286,980 and 127,509.44

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Solution

The fourth proportional to 208,045.76, 286,980 and 127,509.44 is: 175,887.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,045.76 : 286,980 = 127,509.44 : x
  2. Step 2: Convert to fraction form
    208,045.76/286,980 = 127,509.44/x
  3. Step 3: Cross multiply
    208,045.76x = 286,980 × 127,509.44
  4. Step 4: Simplify right side
    208,045.76x = 36,592,659,091.20
  5. Step 5: Solve for x
    x = 36,592,659,091.20/208,045.76
  6. Step 6: Final answer
    x = 175,887.55

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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.