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Finding the Fourth Proportional to 211,830.98, 317,746.28 and 54,059.45

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Solution

The fourth proportional to 211,830.98, 317,746.28 and 54,059.45 is: 81,089.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,830.98 : 317,746.28 = 54,059.45 : x
  2. Step 2: Convert to fraction form
    211,830.98/317,746.28 = 54,059.45/x
  3. Step 3: Cross multiply
    211,830.98x = 317,746.28 × 54,059.45
  4. Step 4: Simplify right side
    211,830.98x = 17,177,187,682.76
  5. Step 5: Solve for x
    x = 17,177,187,682.76/211,830.98
  6. Step 6: Final answer
    x = 81,089.12

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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.