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Finding the Fourth Proportional to 142,804.71, 214,182.81 and 66,911.13

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Solution

The fourth proportional to 142,804.71, 214,182.81 and 66,911.13 is: 100,355.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,804.71 : 214,182.81 = 66,911.13 : x
  2. Step 2: Convert to fraction form
    142,804.71/214,182.81 = 66,911.13/x
  3. Step 3: Cross multiply
    142,804.71x = 214,182.81 × 66,911.13
  4. Step 4: Simplify right side
    142,804.71x = 14,331,213,843.68
  5. Step 5: Solve for x
    x = 14,331,213,843.68/142,804.71
  6. Step 6: Final answer
    x = 100,355.33

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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.