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Finding the Fourth Proportional to 260,041.76, 390,022.80 and 82,525.76

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Solution

The fourth proportional to 260,041.76, 390,022.80 and 82,525.76 is: 123,776.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,041.76 : 390,022.80 = 82,525.76 : x
  2. Step 2: Convert to fraction form
    260,041.76/390,022.80 = 82,525.76/x
  3. Step 3: Cross multiply
    260,041.76x = 390,022.80 × 82,525.76
  4. Step 4: Simplify right side
    260,041.76x = 32,186,927,987.33
  5. Step 5: Solve for x
    x = 32,186,927,987.33/260,041.76
  6. Step 6: Final answer
    x = 123,776.00

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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.