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Finding the Fourth Proportional to 208,397, 287,587.98 and 112,904.36

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Solution

The fourth proportional to 208,397, 287,587.98 and 112,904.36 is: 155,808.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,397 : 287,587.98 = 112,904.36 : x
  2. Step 2: Convert to fraction form
    208,397/287,587.98 = 112,904.36/x
  3. Step 3: Cross multiply
    208,397x = 287,587.98 × 112,904.36
  4. Step 4: Simplify right side
    208,397x = 32,469,936,825.59
  5. Step 5: Solve for x
    x = 32,469,936,825.59/208,397
  6. Step 6: Final answer
    x = 155,808.08

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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.