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Finding the Fourth Proportional to 208,190.51, 287,281.60 and 120,962.01

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Solution

The fourth proportional to 208,190.51, 287,281.60 and 120,962.01 is: 166,915.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,190.51 : 287,281.60 = 120,962.01 : x
  2. Step 2: Convert to fraction form
    208,190.51/287,281.60 = 120,962.01/x
  3. Step 3: Cross multiply
    208,190.51x = 287,281.60 × 120,962.01
  4. Step 4: Simplify right side
    208,190.51x = 34,750,159,469.61
  5. Step 5: Solve for x
    x = 34,750,159,469.61/208,190.51
  6. Step 6: Final answer
    x = 166,915.20

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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.