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Finding the Fourth Proportional to 145,410.02, 200,583.86 and 84,967.82

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Solution

The fourth proportional to 145,410.02, 200,583.86 and 84,967.82 is: 117,207.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,410.02 : 200,583.86 = 84,967.82 : x
  2. Step 2: Convert to fraction form
    145,410.02/200,583.86 = 84,967.82/x
  3. Step 3: Cross multiply
    145,410.02x = 200,583.86 × 84,967.82
  4. Step 4: Simplify right side
    145,410.02x = 17,043,173,311.39
  5. Step 5: Solve for x
    x = 17,043,173,311.39/145,410.02
  6. Step 6: Final answer
    x = 117,207.70

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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.