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Finding the Fourth Proportional to 208,122.36, 287,209.76 and 112,629.06

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Solution

The fourth proportional to 208,122.36, 287,209.76 and 112,629.06 is: 155,428.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,122.36 : 287,209.76 = 112,629.06 : x
  2. Step 2: Convert to fraction form
    208,122.36/287,209.76 = 112,629.06/x
  3. Step 3: Cross multiply
    208,122.36x = 287,209.76 × 112,629.06
  4. Step 4: Simplify right side
    208,122.36x = 32,348,164,728.48
  5. Step 5: Solve for x
    x = 32,348,164,728.48/208,122.36
  6. Step 6: Final answer
    x = 155,428.59

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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.