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Finding the Fourth Proportional to 65,126.60, 97,762.80 and 50,400.80

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Solution

The fourth proportional to 65,126.60, 97,762.80 and 50,400.80 is: 75,657.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,126.60 : 97,762.80 = 50,400.80 : x
  2. Step 2: Convert to fraction form
    65,126.60/97,762.80 = 50,400.80/x
  3. Step 3: Cross multiply
    65,126.60x = 97,762.80 × 50,400.80
  4. Step 4: Simplify right side
    65,126.60x = 4,927,323,330.24
  5. Step 5: Solve for x
    x = 4,927,323,330.24/65,126.60
  6. Step 6: Final answer
    x = 75,657.62

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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.