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Finding the Fourth Proportional to 208,014, 286,942.68 and 127,480.56

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Solution

The fourth proportional to 208,014, 286,942.68 and 127,480.56 is: 175,851.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,014 : 286,942.68 = 127,480.56 : x
  2. Step 2: Convert to fraction form
    208,014/286,942.68 = 127,480.56/x
  3. Step 3: Cross multiply
    208,014x = 286,942.68 × 127,480.56
  4. Step 4: Simplify right side
    208,014x = 36,579,613,534.30
  5. Step 5: Solve for x
    x = 36,579,613,534.30/208,014
  6. Step 6: Final answer
    x = 175,851.69

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1.5x scale

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.