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Finding the Fourth Proportional to 139,529.30, 209,164.35 and 97,409.30

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Solution

The fourth proportional to 139,529.30, 209,164.35 and 97,409.30 is: 146,023.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,529.30 : 209,164.35 = 97,409.30 : x
  2. Step 2: Convert to fraction form
    139,529.30/209,164.35 = 97,409.30/x
  3. Step 3: Cross multiply
    139,529.30x = 209,164.35 × 97,409.30
  4. Step 4: Simplify right side
    139,529.30x = 20,374,552,918.46
  5. Step 5: Solve for x
    x = 20,374,552,918.46/139,529.30
  6. Step 6: Final answer
    x = 146,023.47

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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.