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Finding the Fourth Proportional to 123,330.84, 184,840.50 and 102,802.20

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Solution

The fourth proportional to 123,330.84, 184,840.50 and 102,802.20 is: 154,073.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,330.84 : 184,840.50 = 102,802.20 : x
  2. Step 2: Convert to fraction form
    123,330.84/184,840.50 = 102,802.20/x
  3. Step 3: Cross multiply
    123,330.84x = 184,840.50 × 102,802.20
  4. Step 4: Simplify right side
    123,330.84x = 19,002,010,049.10
  5. Step 5: Solve for x
    x = 19,002,010,049.10/123,330.84
  6. Step 6: Final answer
    x = 154,073.47

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1.5x scale

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.