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Finding the Fourth Proportional to 208,254, 287,442.36 and 118,881.84

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Solution

The fourth proportional to 208,254, 287,442.36 and 118,881.84 is: 164,086.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,254 : 287,442.36 = 118,881.84 : x
  2. Step 2: Convert to fraction form
    208,254/287,442.36 = 118,881.84/x
  3. Step 3: Cross multiply
    208,254x = 287,442.36 × 118,881.84
  4. Step 4: Simplify right side
    208,254x = 34,171,676,650.74
  5. Step 5: Solve for x
    x = 34,171,676,650.74/208,254
  6. Step 6: Final answer
    x = 164,086.53

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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.