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Finding the Fourth Proportional to 142,496.40, 213,694.20 and 48,980.40

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Solution

The fourth proportional to 142,496.40, 213,694.20 and 48,980.40 is: 73,453.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,496.40 : 213,694.20 = 48,980.40 : x
  2. Step 2: Convert to fraction form
    142,496.40/213,694.20 = 48,980.40/x
  3. Step 3: Cross multiply
    142,496.40x = 213,694.20 × 48,980.40
  4. Step 4: Simplify right side
    142,496.40x = 10,466,827,393.68
  5. Step 5: Solve for x
    x = 10,466,827,393.68/142,496.40
  6. Step 6: Final answer
    x = 73,453.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.