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Finding the Fourth Proportional to 164,431, 226,916.40 and 88,981.12

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Solution

The fourth proportional to 164,431, 226,916.40 and 88,981.12 is: 122,794.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,431 : 226,916.40 = 88,981.12 : x
  2. Step 2: Convert to fraction form
    164,431/226,916.40 = 88,981.12/x
  3. Step 3: Cross multiply
    164,431x = 226,916.40 × 88,981.12
  4. Step 4: Simplify right side
    164,431x = 20,191,275,418.37
  5. Step 5: Solve for x
    x = 20,191,275,418.37/164,431
  6. Step 6: Final answer
    x = 122,794.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.