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Finding the Fourth Proportional to 64,642.25, 89,262.41 and 47,675.92

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Solution

The fourth proportional to 64,642.25, 89,262.41 and 47,675.92 is: 65,834.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,642.25 : 89,262.41 = 47,675.92 : x
  2. Step 2: Convert to fraction form
    64,642.25/89,262.41 = 47,675.92/x
  3. Step 3: Cross multiply
    64,642.25x = 89,262.41 × 47,675.92
  4. Step 4: Simplify right side
    64,642.25x = 4,255,666,972.95
  5. Step 5: Solve for x
    x = 4,255,666,972.95/64,642.25
  6. Step 6: Final answer
    x = 65,834.14

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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.