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Finding the Fourth Proportional to 106,722.88, 147,106.29 and 72,256.62

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Solution

The fourth proportional to 106,722.88, 147,106.29 and 72,256.62 is: 99,598.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,722.88 : 147,106.29 = 72,256.62 : x
  2. Step 2: Convert to fraction form
    106,722.88/147,106.29 = 72,256.62/x
  3. Step 3: Cross multiply
    106,722.88x = 147,106.29 × 72,256.62
  4. Step 4: Simplify right side
    106,722.88x = 10,629,403,193.31
  5. Step 5: Solve for x
    x = 10,629,403,193.31/106,722.88
  6. Step 6: Final answer
    x = 99,598.17

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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.