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Finding the Fourth Proportional to 211,497.50, 317,254.90 and 53,730.02

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Solution

The fourth proportional to 211,497.50, 317,254.90 and 53,730.02 is: 80,597.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,497.50 : 317,254.90 = 53,730.02 : x
  2. Step 2: Convert to fraction form
    211,497.50/317,254.90 = 53,730.02/x
  3. Step 3: Cross multiply
    211,497.50x = 317,254.90 × 53,730.02
  4. Step 4: Simplify right side
    211,497.50x = 17,046,112,122.10
  5. Step 5: Solve for x
    x = 17,046,112,122.10/211,497.50
  6. Step 6: Final answer
    x = 80,597.23

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