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Finding the Fourth Proportional to 208,275.58, 287,419.88 and 112,781.98

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Solution

The fourth proportional to 208,275.58, 287,419.88 and 112,781.98 is: 155,638.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,275.58 : 287,419.88 = 112,781.98 : x
  2. Step 2: Convert to fraction form
    208,275.58/287,419.88 = 112,781.98/x
  3. Step 3: Cross multiply
    208,275.58x = 287,419.88 × 112,781.98
  4. Step 4: Simplify right side
    208,275.58x = 32,415,783,157.76
  5. Step 5: Solve for x
    x = 32,415,783,157.76/208,275.58
  6. Step 6: Final answer
    x = 155,638.90

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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.