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Finding the Fourth Proportional to 208,720.64, 312,935.04 and 66,518.24

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Solution

The fourth proportional to 208,720.64, 312,935.04 and 66,518.24 is: 99,730.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,720.64 : 312,935.04 = 66,518.24 : x
  2. Step 2: Convert to fraction form
    208,720.64/312,935.04 = 66,518.24/x
  3. Step 3: Cross multiply
    208,720.64x = 312,935.04 × 66,518.24
  4. Step 4: Simplify right side
    208,720.64x = 20,815,888,095.13
  5. Step 5: Solve for x
    x = 20,815,888,095.13/208,720.64
  6. Step 6: Final answer
    x = 99,730.86

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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.