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Finding the Fourth Proportional to 97,989.32, 135,292.02 and 65,772.20

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Solution

The fourth proportional to 97,989.32, 135,292.02 and 65,772.20 is: 90,810.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,989.32 : 135,292.02 = 65,772.20 : x
  2. Step 2: Convert to fraction form
    97,989.32/135,292.02 = 65,772.20/x
  3. Step 3: Cross multiply
    97,989.32x = 135,292.02 × 65,772.20
  4. Step 4: Simplify right side
    97,989.32x = 8,898,453,797.84
  5. Step 5: Solve for x
    x = 8,898,453,797.84/97,989.32
  6. Step 6: Final answer
    x = 90,810.45

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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.