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Finding the Fourth Proportional to 105,742.26, 145,923.93 and 65,448

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Solution

The fourth proportional to 105,742.26, 145,923.93 and 65,448 is: 90,318.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,742.26 : 145,923.93 = 65,448 : x
  2. Step 2: Convert to fraction form
    105,742.26/145,923.93 = 65,448/x
  3. Step 3: Cross multiply
    105,742.26x = 145,923.93 × 65,448
  4. Step 4: Simplify right side
    105,742.26x = 9,550,429,370.64
  5. Step 5: Solve for x
    x = 9,550,429,370.64/105,742.26
  6. Step 6: Final answer
    x = 90,318.00

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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.