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Finding the Fourth Proportional to 260,260, 359,158.80 and 141,028

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Solution

The fourth proportional to 260,260, 359,158.80 and 141,028 is: 194,618.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,260 : 359,158.80 = 141,028 : x
  2. Step 2: Convert to fraction form
    260,260/359,158.80 = 141,028/x
  3. Step 3: Cross multiply
    260,260x = 359,158.80 × 141,028
  4. Step 4: Simplify right side
    260,260x = 50,651,447,246.40
  5. Step 5: Solve for x
    x = 50,651,447,246.40/260,260
  6. Step 6: Final answer
    x = 194,618.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.