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Finding the Fourth Proportional to 102,802.30, 154,080.06 and 52,905.94

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Solution

The fourth proportional to 102,802.30, 154,080.06 and 52,905.94 is: 79,295.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,802.30 : 154,080.06 = 52,905.94 : x
  2. Step 2: Convert to fraction form
    102,802.30/154,080.06 = 52,905.94/x
  3. Step 3: Cross multiply
    102,802.30x = 154,080.06 × 52,905.94
  4. Step 4: Simplify right side
    102,802.30x = 8,151,750,409.56
  5. Step 5: Solve for x
    x = 8,151,750,409.56/102,802.30
  6. Step 6: Final answer
    x = 79,295.41

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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.