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Finding the Fourth Proportional to 208,996.39, 288,417.14 and 113,504.95

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Solution

The fourth proportional to 208,996.39, 288,417.14 and 113,504.95 is: 156,637.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,996.39 : 288,417.14 = 113,504.95 : x
  2. Step 2: Convert to fraction form
    208,996.39/288,417.14 = 113,504.95/x
  3. Step 3: Cross multiply
    208,996.39x = 288,417.14 × 113,504.95
  4. Step 4: Simplify right side
    208,996.39x = 32,736,773,054.84
  5. Step 5: Solve for x
    x = 32,736,773,054.84/208,996.39
  6. Step 6: Final answer
    x = 156,637.98

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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.