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Finding the Fourth Proportional to 211,298.84, 316,948.26 and 128,017.88

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Solution

The fourth proportional to 211,298.84, 316,948.26 and 128,017.88 is: 192,026.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,298.84 : 316,948.26 = 128,017.88 : x
  2. Step 2: Convert to fraction form
    211,298.84/316,948.26 = 128,017.88/x
  3. Step 3: Cross multiply
    211,298.84x = 316,948.26 × 128,017.88
  4. Step 4: Simplify right side
    211,298.84x = 40,575,042,090.06
  5. Step 5: Solve for x
    x = 40,575,042,090.06/211,298.84
  6. Step 6: Final answer
    x = 192,026.81

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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.