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Finding the Fourth Proportional to 210,742.21, 316,113.59 and 86,083.21

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Solution

The fourth proportional to 210,742.21, 316,113.59 and 86,083.21 is: 129,124.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,742.21 : 316,113.59 = 86,083.21 : x
  2. Step 2: Convert to fraction form
    210,742.21/316,113.59 = 86,083.21/x
  3. Step 3: Cross multiply
    210,742.21x = 316,113.59 × 86,083.21
  4. Step 4: Simplify right side
    210,742.21x = 27,212,072,551.82
  5. Step 5: Solve for x
    x = 27,212,072,551.82/210,742.21
  6. Step 6: Final answer
    x = 129,124.93

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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.