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Finding the Fourth Proportional to 208,142.04, 287,359.74 and 136,647.12

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Solution

The fourth proportional to 208,142.04, 287,359.74 and 136,647.12 is: 188,654.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,142.04 : 287,359.74 = 136,647.12 : x
  2. Step 2: Convert to fraction form
    208,142.04/287,359.74 = 136,647.12/x
  3. Step 3: Cross multiply
    208,142.04x = 287,359.74 × 136,647.12
  4. Step 4: Simplify right side
    208,142.04x = 39,266,880,874.95
  5. Step 5: Solve for x
    x = 39,266,880,874.95/208,142.04
  6. Step 6: Final answer
    x = 188,654.25

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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.