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Finding the Fourth Proportional to 128,361.28, 177,192.48 and 78,077.76

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Solution

The fourth proportional to 128,361.28, 177,192.48 and 78,077.76 is: 107,780.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,361.28 : 177,192.48 = 78,077.76 : x
  2. Step 2: Convert to fraction form
    128,361.28/177,192.48 = 78,077.76/x
  3. Step 3: Cross multiply
    128,361.28x = 177,192.48 × 78,077.76
  4. Step 4: Simplify right side
    128,361.28x = 13,834,791,927.24
  5. Step 5: Solve for x
    x = 13,834,791,927.24/128,361.28
  6. Step 6: Final answer
    x = 107,780.10

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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.