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Finding the Fourth Proportional to 211,099.84, 316,649.28 and 86,440.96

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Solution

The fourth proportional to 211,099.84, 316,649.28 and 86,440.96 is: 129,661.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,099.84 : 316,649.28 = 86,440.96 : x
  2. Step 2: Convert to fraction form
    211,099.84/316,649.28 = 86,440.96/x
  3. Step 3: Cross multiply
    211,099.84x = 316,649.28 × 86,440.96
  4. Step 4: Simplify right side
    211,099.84x = 27,371,467,746.51
  5. Step 5: Solve for x
    x = 27,371,467,746.51/211,099.84
  6. Step 6: Final answer
    x = 129,661.24

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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.