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Finding the Fourth Proportional to 208,551.80, 287,802.96 and 113,060

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Solution

The fourth proportional to 208,551.80, 287,802.96 and 113,060 is: 156,023.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,551.80 : 287,802.96 = 113,060 : x
  2. Step 2: Convert to fraction form
    208,551.80/287,802.96 = 113,060/x
  3. Step 3: Cross multiply
    208,551.80x = 287,802.96 × 113,060
  4. Step 4: Simplify right side
    208,551.80x = 32,539,002,657.60
  5. Step 5: Solve for x
    x = 32,539,002,657.60/208,551.80
  6. Step 6: Final answer
    x = 156,023.60

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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.