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Finding the Fourth Proportional to 249,721, 374,581.86 and 101,977

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Solution

The fourth proportional to 249,721, 374,581.86 and 101,977 is: 152,965.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,721 : 374,581.86 = 101,977 : x
  2. Step 2: Convert to fraction form
    249,721/374,581.86 = 101,977/x
  3. Step 3: Cross multiply
    249,721x = 374,581.86 × 101,977
  4. Step 4: Simplify right side
    249,721x = 38,198,734,337.22
  5. Step 5: Solve for x
    x = 38,198,734,337.22/249,721
  6. Step 6: Final answer
    x = 152,965.65

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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.