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Finding the Fourth Proportional to 211,071.60, 317,068.20 and 148,863.60

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Solution

The fourth proportional to 211,071.60, 317,068.20 and 148,863.60 is: 223,620.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,071.60 : 317,068.20 = 148,863.60 : x
  2. Step 2: Convert to fraction form
    211,071.60/317,068.20 = 148,863.60/x
  3. Step 3: Cross multiply
    211,071.60x = 317,068.20 × 148,863.60
  4. Step 4: Simplify right side
    211,071.60x = 47,199,913,697.52
  5. Step 5: Solve for x
    x = 47,199,913,697.52/211,071.60
  6. Step 6: Final answer
    x = 223,620.39

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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.