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Finding the Fourth Proportional to 208,580.82, 287,820.23 and 128,011.74

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Solution

The fourth proportional to 208,580.82, 287,820.23 and 128,011.74 is: 176,643.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,580.82 : 287,820.23 = 128,011.74 : x
  2. Step 2: Convert to fraction form
    208,580.82/287,820.23 = 128,011.74/x
  3. Step 3: Cross multiply
    208,580.82x = 287,820.23 × 128,011.74
  4. Step 4: Simplify right side
    208,580.82x = 36,844,367,809.44
  5. Step 5: Solve for x
    x = 36,844,367,809.44/208,580.82
  6. Step 6: Final answer
    x = 176,643.12

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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.