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Finding the Fourth Proportional to 142,998.21, 214,430.69 and 53,037.32

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Solution

The fourth proportional to 142,998.21, 214,430.69 and 53,037.32 is: 79,531.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,998.21 : 214,430.69 = 53,037.32 : x
  2. Step 2: Convert to fraction form
    142,998.21/214,430.69 = 53,037.32/x
  3. Step 3: Cross multiply
    142,998.21x = 214,430.69 × 53,037.32
  4. Step 4: Simplify right side
    142,998.21x = 11,372,828,183.79
  5. Step 5: Solve for x
    x = 11,372,828,183.79/142,998.21
  6. Step 6: Final answer
    x = 79,531.26

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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.