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Finding the Fourth Proportional to 142,866.36, 214,369.68 and 57,473.76

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Solution

The fourth proportional to 142,866.36, 214,369.68 and 57,473.76 is: 86,238.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,866.36 : 214,369.68 = 57,473.76 : x
  2. Step 2: Convert to fraction form
    142,866.36/214,369.68 = 57,473.76/x
  3. Step 3: Cross multiply
    142,866.36x = 214,369.68 × 57,473.76
  4. Step 4: Simplify right side
    142,866.36x = 12,320,631,539.60
  5. Step 5: Solve for x
    x = 12,320,631,539.60/142,866.36
  6. Step 6: Final answer
    x = 86,238.86

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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.