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Finding the Fourth Proportional to 145,858, 201,284.24 and 78,790

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Solution

The fourth proportional to 145,858, 201,284.24 and 78,790 is: 108,730.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,858 : 201,284.24 = 78,790 : x
  2. Step 2: Convert to fraction form
    145,858/201,284.24 = 78,790/x
  3. Step 3: Cross multiply
    145,858x = 201,284.24 × 78,790
  4. Step 4: Simplify right side
    145,858x = 15,859,185,269.60
  5. Step 5: Solve for x
    x = 15,859,185,269.60/145,858
  6. Step 6: Final answer
    x = 108,730.31

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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.