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Finding the Fourth Proportional to 180,321, 248,854.50 and 100,833

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Solution

The fourth proportional to 180,321, 248,854.50 and 100,833 is: 139,155.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,321 : 248,854.50 = 100,833 : x
  2. Step 2: Convert to fraction form
    180,321/248,854.50 = 100,833/x
  3. Step 3: Cross multiply
    180,321x = 248,854.50 × 100,833
  4. Step 4: Simplify right side
    180,321x = 25,092,745,798.50
  5. Step 5: Solve for x
    x = 25,092,745,798.50/180,321
  6. Step 6: Final answer
    x = 139,155.98

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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.