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Finding the Fourth Proportional to 145,357.34, 200,583.14 and 81,704.70

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Solution

The fourth proportional to 145,357.34, 200,583.14 and 81,704.70 is: 112,746.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,357.34 : 200,583.14 = 81,704.70 : x
  2. Step 2: Convert to fraction form
    145,357.34/200,583.14 = 81,704.70/x
  3. Step 3: Cross multiply
    145,357.34x = 200,583.14 × 81,704.70
  4. Step 4: Simplify right side
    145,357.34x = 16,388,584,870.23
  5. Step 5: Solve for x
    x = 16,388,584,870.23/145,357.34
  6. Step 6: Final answer
    x = 112,746.87

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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.