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Finding the Fourth Proportional to 145,315.80, 200,540.88 and 81,652.32

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Solution

The fourth proportional to 145,315.80, 200,540.88 and 81,652.32 is: 112,683.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,315.80 : 200,540.88 = 81,652.32 : x
  2. Step 2: Convert to fraction form
    145,315.80/200,540.88 = 81,652.32/x
  3. Step 3: Cross multiply
    145,315.80x = 200,540.88 × 81,652.32
  4. Step 4: Simplify right side
    145,315.80x = 16,374,628,106.84
  5. Step 5: Solve for x
    x = 16,374,628,106.84/145,315.80
  6. Step 6: Final answer
    x = 112,683.05

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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.