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Finding the Fourth Proportional to 211,142.34, 316,489.95 and 98,728.11

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Solution

The fourth proportional to 211,142.34, 316,489.95 and 98,728.11 is: 147,987.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,142.34 : 316,489.95 = 98,728.11 : x
  2. Step 2: Convert to fraction form
    211,142.34/316,489.95 = 98,728.11/x
  3. Step 3: Cross multiply
    211,142.34x = 316,489.95 × 98,728.11
  4. Step 4: Simplify right side
    211,142.34x = 31,246,454,597.49
  5. Step 5: Solve for x
    x = 31,246,454,597.49/211,142.34
  6. Step 6: Final answer
    x = 147,987.63

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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.