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Finding the Fourth Proportional to 210,971.72, 316,561.44 and 98,659.64

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Solution

The fourth proportional to 210,971.72, 316,561.44 and 98,659.64 is: 148,038.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,971.72 : 316,561.44 = 98,659.64 : x
  2. Step 2: Convert to fraction form
    210,971.72/316,561.44 = 98,659.64/x
  3. Step 3: Cross multiply
    210,971.72x = 316,561.44 × 98,659.64
  4. Step 4: Simplify right side
    210,971.72x = 31,231,837,708.28
  5. Step 5: Solve for x
    x = 31,231,837,708.28/210,971.72
  6. Step 6: Final answer
    x = 148,038.03

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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.