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Finding the Fourth Proportional to 75,258, 112,894.56 and 19,854

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Solution

The fourth proportional to 75,258, 112,894.56 and 19,854 is: 29,782.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,258 : 112,894.56 = 19,854 : x
  2. Step 2: Convert to fraction form
    75,258/112,894.56 = 19,854/x
  3. Step 3: Cross multiply
    75,258x = 112,894.56 × 19,854
  4. Step 4: Simplify right side
    75,258x = 2,241,408,594.24
  5. Step 5: Solve for x
    x = 2,241,408,594.24/75,258
  6. Step 6: Final answer
    x = 29,782.99

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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.