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Finding the Fourth Proportional to 142,708.76, 214,054.92 and 42,866.74

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Solution

The fourth proportional to 142,708.76, 214,054.92 and 42,866.74 is: 64,297.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,708.76 : 214,054.92 = 42,866.74 : x
  2. Step 2: Convert to fraction form
    142,708.76/214,054.92 = 42,866.74/x
  3. Step 3: Cross multiply
    142,708.76x = 214,054.92 × 42,866.74
  4. Step 4: Simplify right side
    142,708.76x = 9,175,836,601.36
  5. Step 5: Solve for x
    x = 9,175,836,601.36/142,708.76
  6. Step 6: Final answer
    x = 64,297.64

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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.