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Finding the Fourth Proportional to 235,386, 353,237.76 and 87,642

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Solution

The fourth proportional to 235,386, 353,237.76 and 87,642 is: 131,522.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,386 : 353,237.76 = 87,642 : x
  2. Step 2: Convert to fraction form
    235,386/353,237.76 = 87,642/x
  3. Step 3: Cross multiply
    235,386x = 353,237.76 × 87,642
  4. Step 4: Simplify right side
    235,386x = 30,958,463,761.92
  5. Step 5: Solve for x
    x = 30,958,463,761.92/235,386
  6. Step 6: Final answer
    x = 131,522.11

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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.