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Finding the Fourth Proportional to 131,782.34, 181,859.99 and 71,352.50

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Solution

The fourth proportional to 131,782.34, 181,859.99 and 71,352.50 is: 98,466.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,782.34 : 181,859.99 = 71,352.50 : x
  2. Step 2: Convert to fraction form
    131,782.34/181,859.99 = 71,352.50/x
  3. Step 3: Cross multiply
    131,782.34x = 181,859.99 × 71,352.50
  4. Step 4: Simplify right side
    131,782.34x = 12,976,163,670.41
  5. Step 5: Solve for x
    x = 12,976,163,670.41/131,782.34
  6. Step 6: Final answer
    x = 98,466.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.