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Finding the Fourth Proportional to 98,681.50, 136,183.71 and 53,969.50

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Solution

The fourth proportional to 98,681.50, 136,183.71 and 53,969.50 is: 74,479.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,681.50 : 136,183.71 = 53,969.50 : x
  2. Step 2: Convert to fraction form
    98,681.50/136,183.71 = 53,969.50/x
  3. Step 3: Cross multiply
    98,681.50x = 136,183.71 × 53,969.50
  4. Step 4: Simplify right side
    98,681.50x = 7,349,766,736.85
  5. Step 5: Solve for x
    x = 7,349,766,736.85/98,681.50
  6. Step 6: Final answer
    x = 74,479.68

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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.