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Finding the Fourth Proportional to 142,877.40, 214,097.40 and 135,004.20

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Solution

The fourth proportional to 142,877.40, 214,097.40 and 135,004.20 is: 202,299.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,877.40 : 214,097.40 = 135,004.20 : x
  2. Step 2: Convert to fraction form
    142,877.40/214,097.40 = 135,004.20/x
  3. Step 3: Cross multiply
    142,877.40x = 214,097.40 × 135,004.20
  4. Step 4: Simplify right side
    142,877.40x = 28,904,048,209.08
  5. Step 5: Solve for x
    x = 28,904,048,209.08/142,877.40
  6. Step 6: Final answer
    x = 202,299.65

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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.