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Finding the Fourth Proportional to 113,763.84, 170,670 and 43,642.56

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Solution

The fourth proportional to 113,763.84, 170,670 and 43,642.56 is: 65,473.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,763.84 : 170,670 = 43,642.56 : x
  2. Step 2: Convert to fraction form
    113,763.84/170,670 = 43,642.56/x
  3. Step 3: Cross multiply
    113,763.84x = 170,670 × 43,642.56
  4. Step 4: Simplify right side
    113,763.84x = 7,448,475,715.20
  5. Step 5: Solve for x
    x = 7,448,475,715.20/113,763.84
  6. Step 6: Final answer
    x = 65,473.14

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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.