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Finding the Fourth Proportional to 211,830.45, 317,745.45 and 54,058.89

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Solution

The fourth proportional to 211,830.45, 317,745.45 and 54,058.89 is: 81,088.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,830.45 : 317,745.45 = 54,058.89 : x
  2. Step 2: Convert to fraction form
    211,830.45/317,745.45 = 54,058.89/x
  3. Step 3: Cross multiply
    211,830.45x = 317,745.45 × 54,058.89
  4. Step 4: Simplify right side
    211,830.45x = 17,176,966,329.55
  5. Step 5: Solve for x
    x = 17,176,966,329.55/211,830.45
  6. Step 6: Final answer
    x = 81,088.28

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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.