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Finding the Fourth Proportional to 127,237.60, 190,929.30 and 48,408.40

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Solution

The fourth proportional to 127,237.60, 190,929.30 and 48,408.40 is: 72,640.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,237.60 : 190,929.30 = 48,408.40 : x
  2. Step 2: Convert to fraction form
    127,237.60/190,929.30 = 48,408.40/x
  3. Step 3: Cross multiply
    127,237.60x = 190,929.30 × 48,408.40
  4. Step 4: Simplify right side
    127,237.60x = 9,242,581,926.12
  5. Step 5: Solve for x
    x = 9,242,581,926.12/127,237.60
  6. Step 6: Final answer
    x = 72,640.34

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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.