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Finding the Fourth Proportional to 127,009.76, 190,140.89 and 84,785.10

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Solution

The fourth proportional to 127,009.76, 190,140.89 and 84,785.10 is: 126,928.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,009.76 : 190,140.89 = 84,785.10 : x
  2. Step 2: Convert to fraction form
    127,009.76/190,140.89 = 84,785.10/x
  3. Step 3: Cross multiply
    127,009.76x = 190,140.89 × 84,785.10
  4. Step 4: Simplify right side
    127,009.76x = 16,121,113,948.81
  5. Step 5: Solve for x
    x = 16,121,113,948.81/127,009.76
  6. Step 6: Final answer
    x = 126,928.16

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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.