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Finding the Fourth Proportional to 106,857, 147,461.04 and 76,286.52

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Solution

The fourth proportional to 106,857, 147,461.04 and 76,286.52 is: 105,274.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,857 : 147,461.04 = 76,286.52 : x
  2. Step 2: Convert to fraction form
    106,857/147,461.04 = 76,286.52/x
  3. Step 3: Cross multiply
    106,857x = 147,461.04 × 76,286.52
  4. Step 4: Simplify right side
    106,857x = 11,249,289,577.18
  5. Step 5: Solve for x
    x = 11,249,289,577.18/106,857
  6. Step 6: Final answer
    x = 105,274.24

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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.