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Finding the Fourth Proportional to 145,596.42, 200,922.42 and 81,935.28

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Solution

The fourth proportional to 145,596.42, 200,922.42 and 81,935.28 is: 113,070.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,596.42 : 200,922.42 = 81,935.28 : x
  2. Step 2: Convert to fraction form
    145,596.42/200,922.42 = 81,935.28/x
  3. Step 3: Cross multiply
    145,596.42x = 200,922.42 × 81,935.28
  4. Step 4: Simplify right side
    145,596.42x = 16,462,634,740.98
  5. Step 5: Solve for x
    x = 16,462,634,740.98/145,596.42
  6. Step 6: Final answer
    x = 113,070.33

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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.