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Finding the Fourth Proportional to 139,129.84, 208,693.14 and 96,395.86

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Solution

The fourth proportional to 139,129.84, 208,693.14 and 96,395.86 is: 144,592.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,129.84 : 208,693.14 = 96,395.86 : x
  2. Step 2: Convert to fraction form
    139,129.84/208,693.14 = 96,395.86/x
  3. Step 3: Cross multiply
    139,129.84x = 208,693.14 × 96,395.86
  4. Step 4: Simplify right side
    139,129.84x = 20,117,154,706.40
  5. Step 5: Solve for x
    x = 20,117,154,706.40/139,129.84
  6. Step 6: Final answer
    x = 144,592.67

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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.