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Finding the Fourth Proportional to 105,575.88, 145,694.75 and 57,830.95

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Solution

The fourth proportional to 105,575.88, 145,694.75 and 57,830.95 is: 79,806.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,575.88 : 145,694.75 = 57,830.95 : x
  2. Step 2: Convert to fraction form
    105,575.88/145,694.75 = 57,830.95/x
  3. Step 3: Cross multiply
    105,575.88x = 145,694.75 × 57,830.95
  4. Step 4: Simplify right side
    105,575.88x = 8,425,665,802.51
  5. Step 5: Solve for x
    x = 8,425,665,802.51/105,575.88
  6. Step 6: Final answer
    x = 79,806.73

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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.