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Finding the Fourth Proportional to 51,552, 77,312.64 and 19,956.48

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Solution

The fourth proportional to 51,552, 77,312.64 and 19,956.48 is: 29,928.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,552 : 77,312.64 = 19,956.48 : x
  2. Step 2: Convert to fraction form
    51,552/77,312.64 = 19,956.48/x
  3. Step 3: Cross multiply
    51,552x = 77,312.64 × 19,956.48
  4. Step 4: Simplify right side
    51,552x = 1,542,888,153.91
  5. Step 5: Solve for x
    x = 1,542,888,153.91/51,552
  6. Step 6: Final answer
    x = 29,928.77

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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.