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Finding the Fourth Proportional to 211,802.04, 317,764.55 and 85,377.04

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Solution

The fourth proportional to 211,802.04, 317,764.55 and 85,377.04 is: 128,090.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,802.04 : 317,764.55 = 85,377.04 : x
  2. Step 2: Convert to fraction form
    211,802.04/317,764.55 = 85,377.04/x
  3. Step 3: Cross multiply
    211,802.04x = 317,764.55 × 85,377.04
  4. Step 4: Simplify right side
    211,802.04x = 27,129,796,114.96
  5. Step 5: Solve for x
    x = 27,129,796,114.96/211,802.04
  6. Step 6: Final answer
    x = 128,090.34

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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.