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Finding the Fourth Proportional to 142,878.40, 214,098.90 and 135,005.20

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Solution

The fourth proportional to 142,878.40, 214,098.90 and 135,005.20 is: 202,301.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,878.40 : 214,098.90 = 135,005.20 : x
  2. Step 2: Convert to fraction form
    142,878.40/214,098.90 = 135,005.20/x
  3. Step 3: Cross multiply
    142,878.40x = 214,098.90 × 135,005.20
  4. Step 4: Simplify right side
    142,878.40x = 28,904,464,814.28
  5. Step 5: Solve for x
    x = 28,904,464,814.28/142,878.40
  6. Step 6: Final answer
    x = 202,301.15

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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.