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Finding the Fourth Proportional to 208,573.58, 287,831.68 and 113,080.66

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Solution

The fourth proportional to 208,573.58, 287,831.68 and 113,080.66 is: 156,051.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,573.58 : 287,831.68 = 113,080.66 : x
  2. Step 2: Convert to fraction form
    208,573.58/287,831.68 = 113,080.66/x
  3. Step 3: Cross multiply
    208,573.58x = 287,831.68 × 113,080.66
  4. Step 4: Simplify right side
    208,573.58x = 32,548,195,341.03
  5. Step 5: Solve for x
    x = 32,548,195,341.03/208,573.58
  6. Step 6: Final answer
    x = 156,051.38

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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.