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Finding the Fourth Proportional to 208,398.91, 287,590.79 and 112,905.60

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Solution

The fourth proportional to 208,398.91, 287,590.79 and 112,905.60 is: 155,809.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,398.91 : 287,590.79 = 112,905.60 : x
  2. Step 2: Convert to fraction form
    208,398.91/287,590.79 = 112,905.60/x
  3. Step 3: Cross multiply
    208,398.91x = 287,590.79 × 112,905.60
  4. Step 4: Simplify right side
    208,398.91x = 32,470,610,699.42
  5. Step 5: Solve for x
    x = 32,470,610,699.42/208,398.91
  6. Step 6: Final answer
    x = 155,809.89

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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.