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Finding the Fourth Proportional to 107,314.56, 160,848 and 78,811.20

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Solution

The fourth proportional to 107,314.56, 160,848 and 78,811.20 is: 118,125.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,314.56 : 160,848 = 78,811.20 : x
  2. Step 2: Convert to fraction form
    107,314.56/160,848 = 78,811.20/x
  3. Step 3: Cross multiply
    107,314.56x = 160,848 × 78,811.20
  4. Step 4: Simplify right side
    107,314.56x = 12,676,623,897.60
  5. Step 5: Solve for x
    x = 12,676,623,897.60/107,314.56
  6. Step 6: Final answer
    x = 118,125.85

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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.