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Finding the Fourth Proportional to 102,594.50, 153,900.40 and 28,722.50

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Solution

The fourth proportional to 102,594.50, 153,900.40 and 28,722.50 is: 43,086.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,594.50 : 153,900.40 = 28,722.50 : x
  2. Step 2: Convert to fraction form
    102,594.50/153,900.40 = 28,722.50/x
  3. Step 3: Cross multiply
    102,594.50x = 153,900.40 × 28,722.50
  4. Step 4: Simplify right side
    102,594.50x = 4,420,404,239
  5. Step 5: Solve for x
    x = 4,420,404,239/102,594.50
  6. Step 6: Final answer
    x = 43,086.17

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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.