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Finding the Fourth Proportional to 208,538.96, 312,809.64 and 58,780.46

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Solution

The fourth proportional to 208,538.96, 312,809.64 and 58,780.46 is: 88,171.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,538.96 : 312,809.64 = 58,780.46 : x
  2. Step 2: Convert to fraction form
    208,538.96/312,809.64 = 58,780.46/x
  3. Step 3: Cross multiply
    208,538.96x = 312,809.64 × 58,780.46
  4. Step 4: Simplify right side
    208,538.96x = 18,387,094,531.63
  5. Step 5: Solve for x
    x = 18,387,094,531.63/208,538.96
  6. Step 6: Final answer
    x = 88,171.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.