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Finding the Fourth Proportional to 211,170.80, 316,314.60 and 98,946.80

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Solution

The fourth proportional to 211,170.80, 316,314.60 and 98,946.80 is: 148,213.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,170.80 : 316,314.60 = 98,946.80 : x
  2. Step 2: Convert to fraction form
    211,170.80/316,314.60 = 98,946.80/x
  3. Step 3: Cross multiply
    211,170.80x = 316,314.60 × 98,946.80
  4. Step 4: Simplify right side
    211,170.80x = 31,298,317,463.28
  5. Step 5: Solve for x
    x = 31,298,317,463.28/211,170.80
  6. Step 6: Final answer
    x = 148,213.28

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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.