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Finding the Fourth Proportional to 210,921.84, 316,499.40 and 86,350.32

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Solution

The fourth proportional to 210,921.84, 316,499.40 and 86,350.32 is: 129,573.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,921.84 : 316,499.40 = 86,350.32 : x
  2. Step 2: Convert to fraction form
    210,921.84/316,499.40 = 86,350.32/x
  3. Step 3: Cross multiply
    210,921.84x = 316,499.40 × 86,350.32
  4. Step 4: Simplify right side
    210,921.84x = 27,329,824,469.81
  5. Step 5: Solve for x
    x = 27,329,824,469.81/210,921.84
  6. Step 6: Final answer
    x = 129,573.23

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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.