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Finding the Fourth Proportional to 259,776.95, 389,362.88 and 109,967.45

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Solution

The fourth proportional to 259,776.95, 389,362.88 and 109,967.45 is: 164,823.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,776.95 : 389,362.88 = 109,967.45 : x
  2. Step 2: Convert to fraction form
    259,776.95/389,362.88 = 109,967.45/x
  3. Step 3: Cross multiply
    259,776.95x = 389,362.88 × 109,967.45
  4. Step 4: Simplify right side
    259,776.95x = 42,817,241,366.36
  5. Step 5: Solve for x
    x = 42,817,241,366.36/259,776.95
  6. Step 6: Final answer
    x = 164,823.10

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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.