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Finding the Fourth Proportional to 228,590.09, 342,907.71 and 78,810.69

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Solution

The fourth proportional to 228,590.09, 342,907.71 and 78,810.69 is: 118,223.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,590.09 : 342,907.71 = 78,810.69 : x
  2. Step 2: Convert to fraction form
    228,590.09/342,907.71 = 78,810.69/x
  3. Step 3: Cross multiply
    228,590.09x = 342,907.71 × 78,810.69
  4. Step 4: Simplify right side
    228,590.09x = 27,024,793,231.42
  5. Step 5: Solve for x
    x = 27,024,793,231.42/228,590.09
  6. Step 6: Final answer
    x = 118,223.82

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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.