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Finding the Fourth Proportional to 101,602.16, 140,180.64 and 65,735.36

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Solution

The fourth proportional to 101,602.16, 140,180.64 and 65,735.36 is: 90,695.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,602.16 : 140,180.64 = 65,735.36 : x
  2. Step 2: Convert to fraction form
    101,602.16/140,180.64 = 65,735.36/x
  3. Step 3: Cross multiply
    101,602.16x = 140,180.64 × 65,735.36
  4. Step 4: Simplify right side
    101,602.16x = 9,214,824,134.53
  5. Step 5: Solve for x
    x = 9,214,824,134.53/101,602.16
  6. Step 6: Final answer
    x = 90,695.16

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1.5x scale

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.