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Finding the Fourth Proportional to 208,007.93, 312,058.64 and 65,861.71

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Solution

The fourth proportional to 208,007.93, 312,058.64 and 65,861.71 is: 98,807.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,007.93 : 312,058.64 = 65,861.71 : x
  2. Step 2: Convert to fraction form
    208,007.93/312,058.64 = 65,861.71/x
  3. Step 3: Cross multiply
    208,007.93x = 312,058.64 × 65,861.71
  4. Step 4: Simplify right side
    208,007.93x = 20,552,715,035.18
  5. Step 5: Solve for x
    x = 20,552,715,035.18/208,007.93
  6. Step 6: Final answer
    x = 98,807.36

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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.