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Finding the Fourth Proportional to 142,845, 214,277.40 and 59,739

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Solution

The fourth proportional to 142,845, 214,277.40 and 59,739 is: 89,612.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,845 : 214,277.40 = 59,739 : x
  2. Step 2: Convert to fraction form
    142,845/214,277.40 = 59,739/x
  3. Step 3: Cross multiply
    142,845x = 214,277.40 × 59,739
  4. Step 4: Simplify right side
    142,845x = 12,800,717,598.60
  5. Step 5: Solve for x
    x = 12,800,717,598.60/142,845
  6. Step 6: Final answer
    x = 89,612.64

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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.