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Finding the Fourth Proportional to 99,970.72, 149,955.68 and 29,849.92

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Solution

The fourth proportional to 99,970.72, 149,955.68 and 29,849.92 is: 44,774.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,970.72 : 149,955.68 = 29,849.92 : x
  2. Step 2: Convert to fraction form
    99,970.72/149,955.68 = 29,849.92/x
  3. Step 3: Cross multiply
    99,970.72x = 149,955.68 × 29,849.92
  4. Step 4: Simplify right side
    99,970.72x = 4,476,165,051.55
  5. Step 5: Solve for x
    x = 4,476,165,051.55/99,970.72
  6. Step 6: Final answer
    x = 44,774.76

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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.