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Finding the Fourth Proportional to 254,993.77, 382,545.69 and 77,515.08

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Solution

The fourth proportional to 254,993.77, 382,545.69 and 77,515.08 is: 116,289.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,993.77 : 382,545.69 = 77,515.08 : x
  2. Step 2: Convert to fraction form
    254,993.77/382,545.69 = 77,515.08/x
  3. Step 3: Cross multiply
    254,993.77x = 382,545.69 × 77,515.08
  4. Step 4: Simplify right side
    254,993.77x = 29,653,058,038.78
  5. Step 5: Solve for x
    x = 29,653,058,038.78/254,993.77
  6. Step 6: Final answer
    x = 116,289.34

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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.