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Finding the Fourth Proportional to 102,107.17, 153,185.06 and 100,412.38

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Solution

The fourth proportional to 102,107.17, 153,185.06 and 100,412.38 is: 150,642.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,107.17 : 153,185.06 = 100,412.38 : x
  2. Step 2: Convert to fraction form
    102,107.17/153,185.06 = 100,412.38/x
  3. Step 3: Cross multiply
    102,107.17x = 153,185.06 × 100,412.38
  4. Step 4: Simplify right side
    102,107.17x = 15,381,676,455.04
  5. Step 5: Solve for x
    x = 15,381,676,455.04/102,107.17
  6. Step 6: Final answer
    x = 150,642.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.