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Finding the Fourth Proportional to 235,476.90, 353,165.94 and 77,668.38

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Solution

The fourth proportional to 235,476.90, 353,165.94 and 77,668.38 is: 116,486.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,476.90 : 353,165.94 = 77,668.38 : x
  2. Step 2: Convert to fraction form
    235,476.90/353,165.94 = 77,668.38/x
  3. Step 3: Cross multiply
    235,476.90x = 353,165.94 × 77,668.38
  4. Step 4: Simplify right side
    235,476.90x = 27,429,826,430.98
  5. Step 5: Solve for x
    x = 27,429,826,430.98/235,476.90
  6. Step 6: Final answer
    x = 116,486.27

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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.