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Finding the Fourth Proportional to 145,588.32, 200,895.60 and 81,948

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Solution

The fourth proportional to 145,588.32, 200,895.60 and 81,948 is: 113,079.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,588.32 : 200,895.60 = 81,948 : x
  2. Step 2: Convert to fraction form
    145,588.32/200,895.60 = 81,948/x
  3. Step 3: Cross multiply
    145,588.32x = 200,895.60 × 81,948
  4. Step 4: Simplify right side
    145,588.32x = 16,462,992,628.80
  5. Step 5: Solve for x
    x = 16,462,992,628.80/145,588.32
  6. Step 6: Final answer
    x = 113,079.08

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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.