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Finding the Fourth Proportional to 217,735, 326,602.74 and 86,407

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Solution

The fourth proportional to 217,735, 326,602.74 and 86,407 is: 129,610.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,735 : 326,602.74 = 86,407 : x
  2. Step 2: Convert to fraction form
    217,735/326,602.74 = 86,407/x
  3. Step 3: Cross multiply
    217,735x = 326,602.74 × 86,407
  4. Step 4: Simplify right side
    217,735x = 28,220,762,955.18
  5. Step 5: Solve for x
    x = 28,220,762,955.18/217,735
  6. Step 6: Final answer
    x = 129,610.60

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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.