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Finding the Fourth Proportional to 123,158.76, 184,444.92 and 78,647.64

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Solution

The fourth proportional to 123,158.76, 184,444.92 and 78,647.64 is: 117,784.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,158.76 : 184,444.92 = 78,647.64 : x
  2. Step 2: Convert to fraction form
    123,158.76/184,444.92 = 78,647.64/x
  3. Step 3: Cross multiply
    123,158.76x = 184,444.92 × 78,647.64
  4. Step 4: Simplify right side
    123,158.76x = 14,506,157,667.99
  5. Step 5: Solve for x
    x = 14,506,157,667.99/123,158.76
  6. Step 6: Final answer
    x = 117,784.21

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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.