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Finding the Fourth Proportional to 127,853.80, 191,708.70 and 48,970.60

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Solution

The fourth proportional to 127,853.80, 191,708.70 and 48,970.60 is: 73,428.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,853.80 : 191,708.70 = 48,970.60 : x
  2. Step 2: Convert to fraction form
    127,853.80/191,708.70 = 48,970.60/x
  3. Step 3: Cross multiply
    127,853.80x = 191,708.70 × 48,970.60
  4. Step 4: Simplify right side
    127,853.80x = 9,388,090,064.22
  5. Step 5: Solve for x
    x = 9,388,090,064.22/127,853.80
  6. Step 6: Final answer
    x = 73,428.32

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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.