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Finding the Fourth Proportional to 72,698.90, 100,317.57 and 42,491.30

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Solution

The fourth proportional to 72,698.90, 100,317.57 and 42,491.30 is: 58,633.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,698.90 : 100,317.57 = 42,491.30 : x
  2. Step 2: Convert to fraction form
    72,698.90/100,317.57 = 42,491.30/x
  3. Step 3: Cross multiply
    72,698.90x = 100,317.57 × 42,491.30
  4. Step 4: Simplify right side
    72,698.90x = 4,262,623,962.14
  5. Step 5: Solve for x
    x = 4,262,623,962.14/72,698.90
  6. Step 6: Final answer
    x = 58,633.95

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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.