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Finding the Fourth Proportional to 98,240, 135,571.20 and 53,528

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Solution

The fourth proportional to 98,240, 135,571.20 and 53,528 is: 73,868.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,240 : 135,571.20 = 53,528 : x
  2. Step 2: Convert to fraction form
    98,240/135,571.20 = 53,528/x
  3. Step 3: Cross multiply
    98,240x = 135,571.20 × 53,528
  4. Step 4: Simplify right side
    98,240x = 7,256,855,193.60
  5. Step 5: Solve for x
    x = 7,256,855,193.60/98,240
  6. Step 6: Final answer
    x = 73,868.64

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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.