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Finding the Fourth Proportional to 57,054.69, 78,729.40 and 31,557

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Solution

The fourth proportional to 57,054.69, 78,729.40 and 31,557 is: 43,545.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,054.69 : 78,729.40 = 31,557 : x
  2. Step 2: Convert to fraction form
    57,054.69/78,729.40 = 31,557/x
  3. Step 3: Cross multiply
    57,054.69x = 78,729.40 × 31,557
  4. Step 4: Simplify right side
    57,054.69x = 2,484,463,675.80
  5. Step 5: Solve for x
    x = 2,484,463,675.80/57,054.69
  6. Step 6: Final answer
    x = 43,545.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.