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Finding the Fourth Proportional to 208,279.86, 287,427.08 and 112,786.63

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Solution

The fourth proportional to 208,279.86, 287,427.08 and 112,786.63 is: 155,646.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,279.86 : 287,427.08 = 112,786.63 : x
  2. Step 2: Convert to fraction form
    208,279.86/287,427.08 = 112,786.63/x
  3. Step 3: Cross multiply
    208,279.86x = 287,427.08 × 112,786.63
  4. Step 4: Simplify right side
    208,279.86x = 32,417,931,287.34
  5. Step 5: Solve for x
    x = 32,417,931,287.34/208,279.86
  6. Step 6: Final answer
    x = 155,646.02

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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.