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Finding the Fourth Proportional to 211,152.89, 316,507.91 and 98,738.36

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Solution

The fourth proportional to 211,152.89, 316,507.91 and 98,738.36 is: 148,003.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,152.89 : 316,507.91 = 98,738.36 : x
  2. Step 2: Convert to fraction form
    211,152.89/316,507.91 = 98,738.36/x
  3. Step 3: Cross multiply
    211,152.89x = 316,507.91 × 98,738.36
  4. Step 4: Simplify right side
    211,152.89x = 31,251,471,071.10
  5. Step 5: Solve for x
    x = 31,251,471,071.10/211,152.89
  6. Step 6: Final answer
    x = 148,003.99

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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.