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Finding the Fourth Proportional to 98,513.86, 135,949.28 and 56,072.39

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Solution

The fourth proportional to 98,513.86, 135,949.28 and 56,072.39 is: 77,379.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,513.86 : 135,949.28 = 56,072.39 : x
  2. Step 2: Convert to fraction form
    98,513.86/135,949.28 = 56,072.39/x
  3. Step 3: Cross multiply
    98,513.86x = 135,949.28 × 56,072.39
  4. Step 4: Simplify right side
    98,513.86x = 7,623,001,010.69
  5. Step 5: Solve for x
    x = 7,623,001,010.69/98,513.86
  6. Step 6: Final answer
    x = 77,379.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.