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Finding the Fourth Proportional to 45,213.84, 67,804.56 and 15,624

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Solution

The fourth proportional to 45,213.84, 67,804.56 and 15,624 is: 23,430.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,213.84 : 67,804.56 = 15,624 : x
  2. Step 2: Convert to fraction form
    45,213.84/67,804.56 = 15,624/x
  3. Step 3: Cross multiply
    45,213.84x = 67,804.56 × 15,624
  4. Step 4: Simplify right side
    45,213.84x = 1,059,378,445.44
  5. Step 5: Solve for x
    x = 1,059,378,445.44/45,213.84
  6. Step 6: Final answer
    x = 23,430.40

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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.