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Finding the Fourth Proportional to 259,815.51, 358,538.51 and 145,090.98

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Solution

The fourth proportional to 259,815.51, 358,538.51 and 145,090.98 is: 200,221.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,815.51 : 358,538.51 = 145,090.98 : x
  2. Step 2: Convert to fraction form
    259,815.51/358,538.51 = 145,090.98/x
  3. Step 3: Cross multiply
    259,815.51x = 358,538.51 × 145,090.98
  4. Step 4: Simplify right side
    259,815.51x = 52,020,704,146.37
  5. Step 5: Solve for x
    x = 52,020,704,146.37/259,815.51
  6. Step 6: Final answer
    x = 200,221.70

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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.