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Finding the Fourth Proportional to 51,678.80, 77,509.32 and 14,230.54

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Solution

The fourth proportional to 51,678.80, 77,509.32 and 14,230.54 is: 21,343.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,678.80 : 77,509.32 = 14,230.54 : x
  2. Step 2: Convert to fraction form
    51,678.80/77,509.32 = 14,230.54/x
  3. Step 3: Cross multiply
    51,678.80x = 77,509.32 × 14,230.54
  4. Step 4: Simplify right side
    51,678.80x = 1,102,999,478.63
  5. Step 5: Solve for x
    x = 1,102,999,478.63/51,678.80
  6. Step 6: Final answer
    x = 21,343.36

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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.