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Finding the Fourth Proportional to 103,953.78, 155,947.68 and 51,363.72

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Solution

The fourth proportional to 103,953.78, 155,947.68 and 51,363.72 is: 77,053.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,953.78 : 155,947.68 = 51,363.72 : x
  2. Step 2: Convert to fraction form
    103,953.78/155,947.68 = 51,363.72/x
  3. Step 3: Cross multiply
    103,953.78x = 155,947.68 × 51,363.72
  4. Step 4: Simplify right side
    103,953.78x = 8,010,052,970.17
  5. Step 5: Solve for x
    x = 8,010,052,970.17/103,953.78
  6. Step 6: Final answer
    x = 77,053.98

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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.