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Finding the Fourth Proportional to 97,100.16, 134,039.64 and 65,287.50

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Solution

The fourth proportional to 97,100.16, 134,039.64 and 65,287.50 is: 90,124.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,100.16 : 134,039.64 = 65,287.50 : x
  2. Step 2: Convert to fraction form
    97,100.16/134,039.64 = 65,287.50/x
  3. Step 3: Cross multiply
    97,100.16x = 134,039.64 × 65,287.50
  4. Step 4: Simplify right side
    97,100.16x = 8,751,112,996.50
  5. Step 5: Solve for x
    x = 8,751,112,996.50/97,100.16
  6. Step 6: Final answer
    x = 90,124.60

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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.