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Finding the Fourth Proportional to 139,952.76, 193,129.92 and 76,289.28

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Solution

The fourth proportional to 139,952.76, 193,129.92 and 76,289.28 is: 105,276.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,952.76 : 193,129.92 = 76,289.28 : x
  2. Step 2: Convert to fraction form
    139,952.76/193,129.92 = 76,289.28/x
  3. Step 3: Cross multiply
    139,952.76x = 193,129.92 × 76,289.28
  4. Step 4: Simplify right side
    139,952.76x = 14,733,742,543.26
  5. Step 5: Solve for x
    x = 14,733,742,543.26/139,952.76
  6. Step 6: Final answer
    x = 105,276.54

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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.