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Finding the Fourth Proportional to 208,255, 287,443.74 and 118,882.84

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Solution

The fourth proportional to 208,255, 287,443.74 and 118,882.84 is: 164,087.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,255 : 287,443.74 = 118,882.84 : x
  2. Step 2: Convert to fraction form
    208,255/287,443.74 = 118,882.84/x
  3. Step 3: Cross multiply
    208,255x = 287,443.74 × 118,882.84
  4. Step 4: Simplify right side
    208,255x = 34,172,128,151.42
  5. Step 5: Solve for x
    x = 34,172,128,151.42/208,255
  6. Step 6: Final answer
    x = 164,087.91

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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.