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Finding the Fourth Proportional to 145,523.24, 200,819.10 and 85,129.64

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Solution

The fourth proportional to 145,523.24, 200,819.10 and 85,129.64 is: 117,477.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,523.24 : 200,819.10 = 85,129.64 : x
  2. Step 2: Convert to fraction form
    145,523.24/200,819.10 = 85,129.64/x
  3. Step 3: Cross multiply
    145,523.24x = 200,819.10 × 85,129.64
  4. Step 4: Simplify right side
    145,523.24x = 17,095,657,688.12
  5. Step 5: Solve for x
    x = 17,095,657,688.12/145,523.24
  6. Step 6: Final answer
    x = 117,477.17

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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.