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Finding the Fourth Proportional to 149,764.71, 224,712.70 and 78,670.86

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Solution

The fourth proportional to 149,764.71, 224,712.70 and 78,670.86 is: 118,040.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,764.71 : 224,712.70 = 78,670.86 : x
  2. Step 2: Convert to fraction form
    149,764.71/224,712.70 = 78,670.86/x
  3. Step 3: Cross multiply
    149,764.71x = 224,712.70 × 78,670.86
  4. Step 4: Simplify right side
    149,764.71x = 17,678,340,322.57
  5. Step 5: Solve for x
    x = 17,678,340,322.57/149,764.71
  6. Step 6: Final answer
    x = 118,040.76

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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.