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Finding the Fourth Proportional to 188,828.70, 283,243.06 and 70,509.28

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Solution

The fourth proportional to 188,828.70, 283,243.06 and 70,509.28 is: 105,763.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,828.70 : 283,243.06 = 70,509.28 : x
  2. Step 2: Convert to fraction form
    188,828.70/283,243.06 = 70,509.28/x
  3. Step 3: Cross multiply
    188,828.70x = 283,243.06 × 70,509.28
  4. Step 4: Simplify right side
    188,828.70x = 19,971,264,225.60
  5. Step 5: Solve for x
    x = 19,971,264,225.60/188,828.70
  6. Step 6: Final answer
    x = 105,763.92

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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.