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Finding the Fourth Proportional to 77,140.50, 106,263.60 and 65,772.96

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Solution

The fourth proportional to 77,140.50, 106,263.60 and 65,772.96 is: 90,604.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,140.50 : 106,263.60 = 65,772.96 : x
  2. Step 2: Convert to fraction form
    77,140.50/106,263.60 = 65,772.96/x
  3. Step 3: Cross multiply
    77,140.50x = 106,263.60 × 65,772.96
  4. Step 4: Simplify right side
    77,140.50x = 6,989,271,512.26
  5. Step 5: Solve for x
    x = 6,989,271,512.26/77,140.50
  6. Step 6: Final answer
    x = 90,604.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.