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Finding the Fourth Proportional to 208,607.96, 287,885.90 and 117,978.68

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Solution

The fourth proportional to 208,607.96, 287,885.90 and 117,978.68 is: 162,814.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,607.96 : 287,885.90 = 117,978.68 : x
  2. Step 2: Convert to fraction form
    208,607.96/287,885.90 = 117,978.68/x
  3. Step 3: Cross multiply
    208,607.96x = 287,885.90 × 117,978.68
  4. Step 4: Simplify right side
    208,607.96x = 33,964,397,204.29
  5. Step 5: Solve for x
    x = 33,964,397,204.29/208,607.96
  6. Step 6: Final answer
    x = 162,814.49

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1.5x scale

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.