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Finding the Fourth Proportional to 235,478.65, 353,168.56 and 77,670.13

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Solution

The fourth proportional to 235,478.65, 353,168.56 and 77,670.13 is: 116,488.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,478.65 : 353,168.56 = 77,670.13 : x
  2. Step 2: Convert to fraction form
    235,478.65/353,168.56 = 77,670.13/x
  3. Step 3: Cross multiply
    235,478.65x = 353,168.56 × 77,670.13
  4. Step 4: Simplify right side
    235,478.65x = 27,430,647,967.11
  5. Step 5: Solve for x
    x = 27,430,647,967.11/235,478.65
  6. Step 6: Final answer
    x = 116,488.90

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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.