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Finding the Fourth Proportional to 223,281.96, 308,052.90 and 138,368.04

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Solution

The fourth proportional to 223,281.96, 308,052.90 and 138,368.04 is: 190,900.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,281.96 : 308,052.90 = 138,368.04 : x
  2. Step 2: Convert to fraction form
    223,281.96/308,052.90 = 138,368.04/x
  3. Step 3: Cross multiply
    223,281.96x = 308,052.90 × 138,368.04
  4. Step 4: Simplify right side
    223,281.96x = 42,624,675,989.32
  5. Step 5: Solve for x
    x = 42,624,675,989.32/223,281.96
  6. Step 6: Final answer
    x = 190,900.67

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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.