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Finding the Fourth Proportional to 142,800.31, 214,245.23 and 85,936.26

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Solution

The fourth proportional to 142,800.31, 214,245.23 and 85,936.26 is: 128,931.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,800.31 : 214,245.23 = 85,936.26 : x
  2. Step 2: Convert to fraction form
    142,800.31/214,245.23 = 85,936.26/x
  3. Step 3: Cross multiply
    142,800.31x = 214,245.23 × 85,936.26
  4. Step 4: Simplify right side
    142,800.31x = 18,411,432,288.13
  5. Step 5: Solve for x
    x = 18,411,432,288.13/142,800.31
  6. Step 6: Final answer
    x = 128,931.32

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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.