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Finding the Fourth Proportional to 235,109.34, 324,457.32 and 138,320.02

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Solution

The fourth proportional to 235,109.34, 324,457.32 and 138,320.02 is: 190,885.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,109.34 : 324,457.32 = 138,320.02 : x
  2. Step 2: Convert to fraction form
    235,109.34/324,457.32 = 138,320.02/x
  3. Step 3: Cross multiply
    235,109.34x = 324,457.32 × 138,320.02
  4. Step 4: Simplify right side
    235,109.34x = 44,878,942,991.55
  5. Step 5: Solve for x
    x = 44,878,942,991.55/235,109.34
  6. Step 6: Final answer
    x = 190,885.41

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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.