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Finding the Fourth Proportional to 208,274.58, 287,418.51 and 112,780.98

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Solution

The fourth proportional to 208,274.58, 287,418.51 and 112,780.98 is: 155,637.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,274.58 : 287,418.51 = 112,780.98 : x
  2. Step 2: Convert to fraction form
    208,274.58/287,418.51 = 112,780.98/x
  3. Step 3: Cross multiply
    208,274.58x = 287,418.51 × 112,780.98
  4. Step 4: Simplify right side
    208,274.58x = 32,415,341,227.94
  5. Step 5: Solve for x
    x = 32,415,341,227.94/208,274.58
  6. Step 6: Final answer
    x = 155,637.53

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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.