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Finding the Fourth Proportional to 122,400, 183,427.70 and 97,328.78

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Solution

The fourth proportional to 122,400, 183,427.70 and 97,328.78 is: 145,856.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,400 : 183,427.70 = 97,328.78 : x
  2. Step 2: Convert to fraction form
    122,400/183,427.70 = 97,328.78/x
  3. Step 3: Cross multiply
    122,400x = 183,427.70 × 97,328.78
  4. Step 4: Simplify right side
    122,400x = 17,852,794,961.10
  5. Step 5: Solve for x
    x = 17,852,794,961.10/122,400
  6. Step 6: Final answer
    x = 145,856.17

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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.