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Finding the Fourth Proportional to 145,079.03, 200,213 and 81,420.73

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Solution

The fourth proportional to 145,079.03, 200,213 and 81,420.73 is: 112,362.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,079.03 : 200,213 = 81,420.73 : x
  2. Step 2: Convert to fraction form
    145,079.03/200,213 = 81,420.73/x
  3. Step 3: Cross multiply
    145,079.03x = 200,213 × 81,420.73
  4. Step 4: Simplify right side
    145,079.03x = 16,301,488,615.49
  5. Step 5: Solve for x
    x = 16,301,488,615.49/145,079.03
  6. Step 6: Final answer
    x = 112,362.82

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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.