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Finding the Fourth Proportional to 99,682.56, 149,251.68 and 97,038.72

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Solution

The fourth proportional to 99,682.56, 149,251.68 and 97,038.72 is: 145,293.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,682.56 : 149,251.68 = 97,038.72 : x
  2. Step 2: Convert to fraction form
    99,682.56/149,251.68 = 97,038.72/x
  3. Step 3: Cross multiply
    99,682.56x = 149,251.68 × 97,038.72
  4. Step 4: Simplify right side
    99,682.56x = 14,483,191,985.05
  5. Step 5: Solve for x
    x = 14,483,191,985.05/99,682.56
  6. Step 6: Final answer
    x = 145,293.14

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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.