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Finding the Fourth Proportional to 120,692.72, 181,038.36 and 65,638.64

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Solution

The fourth proportional to 120,692.72, 181,038.36 and 65,638.64 is: 98,457.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,692.72 : 181,038.36 = 65,638.64 : x
  2. Step 2: Convert to fraction form
    120,692.72/181,038.36 = 65,638.64/x
  3. Step 3: Cross multiply
    120,692.72x = 181,038.36 × 65,638.64
  4. Step 4: Simplify right side
    120,692.72x = 11,883,111,738.23
  5. Step 5: Solve for x
    x = 11,883,111,738.23/120,692.72
  6. Step 6: Final answer
    x = 98,457.57

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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.