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Finding the Fourth Proportional to 105,421.48, 145,431.39 and 65,120.74

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Solution

The fourth proportional to 105,421.48, 145,431.39 and 65,120.74 is: 89,835.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,421.48 : 145,431.39 = 65,120.74 : x
  2. Step 2: Convert to fraction form
    105,421.48/145,431.39 = 65,120.74/x
  3. Step 3: Cross multiply
    105,421.48x = 145,431.39 × 65,120.74
  4. Step 4: Simplify right side
    105,421.48x = 9,470,599,736.03
  5. Step 5: Solve for x
    x = 9,470,599,736.03/105,421.48
  6. Step 6: Final answer
    x = 89,835.58

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1.5x scale

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.