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Finding the Fourth Proportional to 208,663.39, 312,810.40 and 100,538.11

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Solution

The fourth proportional to 208,663.39, 312,810.40 and 100,538.11 is: 150,718.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,663.39 : 312,810.40 = 100,538.11 : x
  2. Step 2: Convert to fraction form
    208,663.39/312,810.40 = 100,538.11/x
  3. Step 3: Cross multiply
    208,663.39x = 312,810.40 × 100,538.11
  4. Step 4: Simplify right side
    208,663.39x = 31,449,364,337.60
  5. Step 5: Solve for x
    x = 31,449,364,337.60/208,663.39
  6. Step 6: Final answer
    x = 150,718.17

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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.