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Finding the Fourth Proportional to 108,038.52, 162,075.10 and 45,709.56

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Solution

The fourth proportional to 108,038.52, 162,075.10 and 45,709.56 is: 68,571.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,038.52 : 162,075.10 = 45,709.56 : x
  2. Step 2: Convert to fraction form
    108,038.52/162,075.10 = 45,709.56/x
  3. Step 3: Cross multiply
    108,038.52x = 162,075.10 × 45,709.56
  4. Step 4: Simplify right side
    108,038.52x = 7,408,381,507.96
  5. Step 5: Solve for x
    x = 7,408,381,507.96/108,038.52
  6. Step 6: Final answer
    x = 68,571.67

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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.