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Finding the Fourth Proportional to 117,465, 162,236.25 and 77,358.03

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Solution

The fourth proportional to 117,465, 162,236.25 and 77,358.03 is: 106,842.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,465 : 162,236.25 = 77,358.03 : x
  2. Step 2: Convert to fraction form
    117,465/162,236.25 = 77,358.03/x
  3. Step 3: Cross multiply
    117,465x = 162,236.25 × 77,358.03
  4. Step 4: Simplify right side
    117,465x = 12,550,276,694.59
  5. Step 5: Solve for x
    x = 12,550,276,694.59/117,465
  6. Step 6: Final answer
    x = 106,842.69

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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.