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Finding the Fourth Proportional to 127,509.60, 190,972.80 and 65,107.20

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Solution

The fourth proportional to 127,509.60, 190,972.80 and 65,107.20 is: 97,511.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,509.60 : 190,972.80 = 65,107.20 : x
  2. Step 2: Convert to fraction form
    127,509.60/190,972.80 = 65,107.20/x
  3. Step 3: Cross multiply
    127,509.60x = 190,972.80 × 65,107.20
  4. Step 4: Simplify right side
    127,509.60x = 12,433,704,284.16
  5. Step 5: Solve for x
    x = 12,433,704,284.16/127,509.60
  6. Step 6: Final answer
    x = 97,511.91

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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.