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Finding the Fourth Proportional to 145,882.40, 201,217.60 and 89,321.60

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Solution

The fourth proportional to 145,882.40, 201,217.60 and 89,321.60 is: 123,202.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,882.40 : 201,217.60 = 89,321.60 : x
  2. Step 2: Convert to fraction form
    145,882.40/201,217.60 = 89,321.60/x
  3. Step 3: Cross multiply
    145,882.40x = 201,217.60 × 89,321.60
  4. Step 4: Simplify right side
    145,882.40x = 17,973,077,980.16
  5. Step 5: Solve for x
    x = 17,973,077,980.16/145,882.40
  6. Step 6: Final answer
    x = 123,202.51

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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.