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Finding the Fourth Proportional to 286,671.74, 430,010.21 and 86,992.13

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Solution

The fourth proportional to 286,671.74, 430,010.21 and 86,992.13 is: 130,488.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,671.74 : 430,010.21 = 86,992.13 : x
  2. Step 2: Convert to fraction form
    286,671.74/430,010.21 = 86,992.13/x
  3. Step 3: Cross multiply
    286,671.74x = 430,010.21 × 86,992.13
  4. Step 4: Simplify right side
    286,671.74x = 37,407,501,504.64
  5. Step 5: Solve for x
    x = 37,407,501,504.64/286,671.74
  6. Step 6: Final answer
    x = 130,488.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.