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Finding the Fourth Proportional to 139,100.94, 191,957.40 and 75,437.46

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Solution

The fourth proportional to 139,100.94, 191,957.40 and 75,437.46 is: 104,102.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,100.94 : 191,957.40 = 75,437.46 : x
  2. Step 2: Convert to fraction form
    139,100.94/191,957.40 = 75,437.46/x
  3. Step 3: Cross multiply
    139,100.94x = 191,957.40 × 75,437.46
  4. Step 4: Simplify right side
    139,100.94x = 14,480,778,684.20
  5. Step 5: Solve for x
    x = 14,480,778,684.20/139,100.94
  6. Step 6: Final answer
    x = 104,102.67

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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.