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Finding the Fourth Proportional to 100,329, 138,465.54 and 57,315.30

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Solution

The fourth proportional to 100,329, 138,465.54 and 57,315.30 is: 79,101.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,329 : 138,465.54 = 57,315.30 : x
  2. Step 2: Convert to fraction form
    100,329/138,465.54 = 57,315.30/x
  3. Step 3: Cross multiply
    100,329x = 138,465.54 × 57,315.30
  4. Step 4: Simplify right side
    100,329x = 7,936,193,964.76
  5. Step 5: Solve for x
    x = 7,936,193,964.76/100,329
  6. Step 6: Final answer
    x = 79,101.70

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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.