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Finding the Fourth Proportional to 75,824, 104,637.12 and 42,290

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Solution

The fourth proportional to 75,824, 104,637.12 and 42,290 is: 58,360.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,824 : 104,637.12 = 42,290 : x
  2. Step 2: Convert to fraction form
    75,824/104,637.12 = 42,290/x
  3. Step 3: Cross multiply
    75,824x = 104,637.12 × 42,290
  4. Step 4: Simplify right side
    75,824x = 4,425,103,804.80
  5. Step 5: Solve for x
    x = 4,425,103,804.80/75,824
  6. Step 6: Final answer
    x = 58,360.20

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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.