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Finding the Fourth Proportional to 77,746.40, 107,180.48 and 65,761.28

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Solution

The fourth proportional to 77,746.40, 107,180.48 and 65,761.28 is: 90,657.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,746.40 : 107,180.48 = 65,761.28 : x
  2. Step 2: Convert to fraction form
    77,746.40/107,180.48 = 65,761.28/x
  3. Step 3: Cross multiply
    77,746.40x = 107,180.48 × 65,761.28
  4. Step 4: Simplify right side
    77,746.40x = 7,048,325,555.81
  5. Step 5: Solve for x
    x = 7,048,325,555.81/77,746.40
  6. Step 6: Final answer
    x = 90,657.90

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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.