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Finding the Fourth Proportional to 208,098.40, 287,177.52 and 122,108.80

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Solution

The fourth proportional to 208,098.40, 287,177.52 and 122,108.80 is: 168,511.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,098.40 : 287,177.52 = 122,108.80 : x
  2. Step 2: Convert to fraction form
    208,098.40/287,177.52 = 122,108.80/x
  3. Step 3: Cross multiply
    208,098.40x = 287,177.52 × 122,108.80
  4. Step 4: Simplify right side
    208,098.40x = 35,066,902,354.18
  5. Step 5: Solve for x
    x = 35,066,902,354.18/208,098.40
  6. Step 6: Final answer
    x = 168,511.16

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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.