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Finding the Fourth Proportional to 99,759, 149,638.50 and 37,385.76

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Solution

The fourth proportional to 99,759, 149,638.50 and 37,385.76 is: 56,078.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,759 : 149,638.50 = 37,385.76 : x
  2. Step 2: Convert to fraction form
    99,759/149,638.50 = 37,385.76/x
  3. Step 3: Cross multiply
    99,759x = 149,638.50 × 37,385.76
  4. Step 4: Simplify right side
    99,759x = 5,594,349,047.76
  5. Step 5: Solve for x
    x = 5,594,349,047.76/99,759
  6. Step 6: Final answer
    x = 56,078.64

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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.