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Finding the Fourth Proportional to 120,487.50, 180,678.60 and 64,314.81

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Solution

The fourth proportional to 120,487.50, 180,678.60 and 64,314.81 is: 96,444.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,487.50 : 180,678.60 = 64,314.81 : x
  2. Step 2: Convert to fraction form
    120,487.50/180,678.60 = 64,314.81/x
  3. Step 3: Cross multiply
    120,487.50x = 180,678.60 × 64,314.81
  4. Step 4: Simplify right side
    120,487.50x = 11,620,309,830.07
  5. Step 5: Solve for x
    x = 11,620,309,830.07/120,487.50
  6. Step 6: Final answer
    x = 96,444.11

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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.