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Finding the Fourth Proportional to 107,393.58, 148,219.29 and 77,278.59

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Solution

The fourth proportional to 107,393.58, 148,219.29 and 77,278.59 is: 106,656.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,393.58 : 148,219.29 = 77,278.59 : x
  2. Step 2: Convert to fraction form
    107,393.58/148,219.29 = 77,278.59/x
  3. Step 3: Cross multiply
    107,393.58x = 148,219.29 × 77,278.59
  4. Step 4: Simplify right side
    107,393.58x = 11,454,177,742.00
  5. Step 5: Solve for x
    x = 11,454,177,742.00/107,393.58
  6. Step 6: Final answer
    x = 106,656.08

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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.