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Finding the Fourth Proportional to 145,493.34, 200,765.16 and 81,817.62

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Solution

The fourth proportional to 145,493.34, 200,765.16 and 81,817.62 is: 112,899.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,493.34 : 200,765.16 = 81,817.62 : x
  2. Step 2: Convert to fraction form
    145,493.34/200,765.16 = 81,817.62/x
  3. Step 3: Cross multiply
    145,493.34x = 200,765.16 × 81,817.62
  4. Step 4: Simplify right side
    145,493.34x = 16,426,127,570.12
  5. Step 5: Solve for x
    x = 16,426,127,570.12/145,493.34
  6. Step 6: Final answer
    x = 112,899.52

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1.5x scale

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.