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Finding the Fourth Proportional to 101,258.86, 139,737.23 and 56,546.86

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Solution

The fourth proportional to 101,258.86, 139,737.23 and 56,546.86 is: 78,034.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,258.86 : 139,737.23 = 56,546.86 : x
  2. Step 2: Convert to fraction form
    101,258.86/139,737.23 = 56,546.86/x
  3. Step 3: Cross multiply
    101,258.86x = 139,737.23 × 56,546.86
  4. Step 4: Simplify right side
    101,258.86x = 7,901,701,264.54
  5. Step 5: Solve for x
    x = 7,901,701,264.54/101,258.86
  6. Step 6: Final answer
    x = 78,034.67

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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.