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Finding the Fourth Proportional to 120,615.72, 180,898.98 and 45,710.07

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Solution

The fourth proportional to 120,615.72, 180,898.98 and 45,710.07 is: 68,555.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,615.72 : 180,898.98 = 45,710.07 : x
  2. Step 2: Convert to fraction form
    120,615.72/180,898.98 = 45,710.07/x
  3. Step 3: Cross multiply
    120,615.72x = 180,898.98 × 45,710.07
  4. Step 4: Simplify right side
    120,615.72x = 8,268,905,038.73
  5. Step 5: Solve for x
    x = 8,268,905,038.73/120,615.72
  6. Step 6: Final answer
    x = 68,555.78

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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.