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Finding the Fourth Proportional to 53,307.83, 79,947.79 and 15,857.82

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Solution

The fourth proportional to 53,307.83, 79,947.79 and 15,857.82 is: 23,782.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,307.83 : 79,947.79 = 15,857.82 : x
  2. Step 2: Convert to fraction form
    53,307.83/79,947.79 = 15,857.82/x
  3. Step 3: Cross multiply
    53,307.83x = 79,947.79 × 15,857.82
  4. Step 4: Simplify right side
    53,307.83x = 1,267,797,663.22
  5. Step 5: Solve for x
    x = 1,267,797,663.22/53,307.83
  6. Step 6: Final answer
    x = 23,782.58

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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.