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Finding the Fourth Proportional to 228,525.32, 342,578.04 and 78,730

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Solution

The fourth proportional to 228,525.32, 342,578.04 and 78,730 is: 118,022.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,525.32 : 342,578.04 = 78,730 : x
  2. Step 2: Convert to fraction form
    228,525.32/342,578.04 = 78,730/x
  3. Step 3: Cross multiply
    228,525.32x = 342,578.04 × 78,730
  4. Step 4: Simplify right side
    228,525.32x = 26,971,169,089.20
  5. Step 5: Solve for x
    x = 26,971,169,089.20/228,525.32
  6. Step 6: Final answer
    x = 118,022.67

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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.