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Finding the Fourth Proportional to 102,614.69, 141,611.09 and 57,290.93

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Solution

The fourth proportional to 102,614.69, 141,611.09 and 57,290.93 is: 79,063.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,614.69 : 141,611.09 = 57,290.93 : x
  2. Step 2: Convert to fraction form
    102,614.69/141,611.09 = 57,290.93/x
  3. Step 3: Cross multiply
    102,614.69x = 141,611.09 × 57,290.93
  4. Step 4: Simplify right side
    102,614.69x = 8,113,030,479.59
  5. Step 5: Solve for x
    x = 8,113,030,479.59/102,614.69
  6. Step 6: Final answer
    x = 79,063.05

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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.