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Finding the Fourth Proportional to 98,200, 135,516.16 and 53,488

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Solution

The fourth proportional to 98,200, 135,516.16 and 53,488 is: 73,813.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,200 : 135,516.16 = 53,488 : x
  2. Step 2: Convert to fraction form
    98,200/135,516.16 = 53,488/x
  3. Step 3: Cross multiply
    98,200x = 135,516.16 × 53,488
  4. Step 4: Simplify right side
    98,200x = 7,248,488,366.08
  5. Step 5: Solve for x
    x = 7,248,488,366.08/98,200
  6. Step 6: Final answer
    x = 73,813.53

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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.