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Finding the Fourth Proportional to 98,477.50, 135,899.49 and 53,765.50

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Solution

The fourth proportional to 98,477.50, 135,899.49 and 53,765.50 is: 74,196.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,477.50 : 135,899.49 = 53,765.50 : x
  2. Step 2: Convert to fraction form
    98,477.50/135,899.49 = 53,765.50/x
  3. Step 3: Cross multiply
    98,477.50x = 135,899.49 × 53,765.50
  4. Step 4: Simplify right side
    98,477.50x = 7,306,704,029.60
  5. Step 5: Solve for x
    x = 7,306,704,029.60/98,477.50
  6. Step 6: Final answer
    x = 74,196.68

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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.