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Finding the Fourth Proportional to 143,130.81, 214,737.77 and 57,697.58

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Solution

The fourth proportional to 143,130.81, 214,737.77 and 57,697.58 is: 86,563.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,130.81 : 214,737.77 = 57,697.58 : x
  2. Step 2: Convert to fraction form
    143,130.81/214,737.77 = 57,697.58/x
  3. Step 3: Cross multiply
    143,130.81x = 214,737.77 × 57,697.58
  4. Step 4: Simplify right side
    143,130.81x = 12,389,848,301.42
  5. Step 5: Solve for x
    x = 12,389,848,301.42/143,130.81
  6. Step 6: Final answer
    x = 86,563.11

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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.