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Finding the Fourth Proportional to 260,178.65, 390,238.16 and 68,071.63

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Solution

The fourth proportional to 260,178.65, 390,238.16 and 68,071.63 is: 102,099.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,178.65 : 390,238.16 = 68,071.63 : x
  2. Step 2: Convert to fraction form
    260,178.65/390,238.16 = 68,071.63/x
  3. Step 3: Cross multiply
    260,178.65x = 390,238.16 × 68,071.63
  4. Step 4: Simplify right side
    260,178.65x = 26,564,147,639.40
  5. Step 5: Solve for x
    x = 26,564,147,639.40/260,178.65
  6. Step 6: Final answer
    x = 102,099.64

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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.