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Finding the Fourth Proportional to 208,010.91, 312,063.35 and 65,864.82

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Solution

The fourth proportional to 208,010.91, 312,063.35 and 65,864.82 is: 98,812.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,010.91 : 312,063.35 = 65,864.82 : x
  2. Step 2: Convert to fraction form
    208,010.91/312,063.35 = 65,864.82/x
  3. Step 3: Cross multiply
    208,010.91x = 312,063.35 × 65,864.82
  4. Step 4: Simplify right side
    208,010.91x = 20,553,996,047.02
  5. Step 5: Solve for x
    x = 20,553,996,047.02/208,010.91
  6. Step 6: Final answer
    x = 98,812.11

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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.