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Finding the Fourth Proportional to 142,761.70, 214,142.55 and 90,000.10

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Solution

The fourth proportional to 142,761.70, 214,142.55 and 90,000.10 is: 135,000.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,761.70 : 214,142.55 = 90,000.10 : x
  2. Step 2: Convert to fraction form
    142,761.70/214,142.55 = 90,000.10/x
  3. Step 3: Cross multiply
    142,761.70x = 214,142.55 × 90,000.10
  4. Step 4: Simplify right side
    142,761.70x = 19,272,850,914.26
  5. Step 5: Solve for x
    x = 19,272,850,914.26/142,761.70
  6. Step 6: Final answer
    x = 135,000.15

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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.