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Finding the Fourth Proportional to 208,402.17, 312,629.74 and 66,196.71

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Solution

The fourth proportional to 208,402.17, 312,629.74 and 66,196.71 is: 99,303.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,402.17 : 312,629.74 = 66,196.71 : x
  2. Step 2: Convert to fraction form
    208,402.17/312,629.74 = 66,196.71/x
  3. Step 3: Cross multiply
    208,402.17x = 312,629.74 × 66,196.71
  4. Step 4: Simplify right side
    208,402.17x = 20,695,060,443.02
  5. Step 5: Solve for x
    x = 20,695,060,443.02/208,402.17
  6. Step 6: Final answer
    x = 99,303.48

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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.