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Finding the Fourth Proportional to 208,922.88, 288,320.48 and 118,277

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Solution

The fourth proportional to 208,922.88, 288,320.48 and 118,277 is: 163,226.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,922.88 : 288,320.48 = 118,277 : x
  2. Step 2: Convert to fraction form
    208,922.88/288,320.48 = 118,277/x
  3. Step 3: Cross multiply
    208,922.88x = 288,320.48 × 118,277
  4. Step 4: Simplify right side
    208,922.88x = 34,101,681,412.96
  5. Step 5: Solve for x
    x = 34,101,681,412.96/208,922.88
  6. Step 6: Final answer
    x = 163,226.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.