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Finding the Fourth Proportional to 260,083.76, 390,085.80 and 82,567.76

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Solution

The fourth proportional to 260,083.76, 390,085.80 and 82,567.76 is: 123,838.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,083.76 : 390,085.80 = 82,567.76 : x
  2. Step 2: Convert to fraction form
    260,083.76/390,085.80 = 82,567.76/x
  3. Step 3: Cross multiply
    260,083.76x = 390,085.80 × 82,567.76
  4. Step 4: Simplify right side
    260,083.76x = 32,208,510,713.81
  5. Step 5: Solve for x
    x = 32,208,510,713.81/260,083.76
  6. Step 6: Final answer
    x = 123,838.99

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1.5x scale

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.