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Finding the Fourth Proportional to 157,284, 217,051.92 and 86,628

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Solution

The fourth proportional to 157,284, 217,051.92 and 86,628 is: 119,546.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,284 : 217,051.92 = 86,628 : x
  2. Step 2: Convert to fraction form
    157,284/217,051.92 = 86,628/x
  3. Step 3: Cross multiply
    157,284x = 217,051.92 × 86,628
  4. Step 4: Simplify right side
    157,284x = 18,802,773,725.76
  5. Step 5: Solve for x
    x = 18,802,773,725.76/157,284
  6. Step 6: Final answer
    x = 119,546.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.