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Finding the Fourth Proportional to 106,921, 147,381 and 84,224.08

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Solution

The fourth proportional to 106,921, 147,381 and 84,224.08 is: 116,095.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,921 : 147,381 = 84,224.08 : x
  2. Step 2: Convert to fraction form
    106,921/147,381 = 84,224.08/x
  3. Step 3: Cross multiply
    106,921x = 147,381 × 84,224.08
  4. Step 4: Simplify right side
    106,921x = 12,413,029,134.48
  5. Step 5: Solve for x
    x = 12,413,029,134.48/106,921
  6. Step 6: Final answer
    x = 116,095.33

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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.