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Finding the Fourth Proportional to 98,643.64, 136,128.24 and 53,321.50

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Solution

The fourth proportional to 98,643.64, 136,128.24 and 53,321.50 is: 73,583.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,643.64 : 136,128.24 = 53,321.50 : x
  2. Step 2: Convert to fraction form
    98,643.64/136,128.24 = 53,321.50/x
  3. Step 3: Cross multiply
    98,643.64x = 136,128.24 × 53,321.50
  4. Step 4: Simplify right side
    98,643.64x = 7,258,561,949.16
  5. Step 5: Solve for x
    x = 7,258,561,949.16/98,643.64
  6. Step 6: Final answer
    x = 73,583.68

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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.