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Finding the Fourth Proportional to 242,563.68, 334,729.44 and 135,128.16

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Solution

The fourth proportional to 242,563.68, 334,729.44 and 135,128.16 is: 186,472.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,563.68 : 334,729.44 = 135,128.16 : x
  2. Step 2: Convert to fraction form
    242,563.68/334,729.44 = 135,128.16/x
  3. Step 3: Cross multiply
    242,563.68x = 334,729.44 × 135,128.16
  4. Step 4: Simplify right side
    242,563.68x = 45,231,373,325.03
  5. Step 5: Solve for x
    x = 45,231,373,325.03/242,563.68
  6. Step 6: Final answer
    x = 186,472.16

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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.