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Finding the Fourth Proportional to 105,673.74, 145,844.70 and 65,400.48

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Solution

The fourth proportional to 105,673.74, 145,844.70 and 65,400.48 is: 90,261.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,673.74 : 145,844.70 = 65,400.48 : x
  2. Step 2: Convert to fraction form
    105,673.74/145,844.70 = 65,400.48/x
  3. Step 3: Cross multiply
    105,673.74x = 145,844.70 × 65,400.48
  4. Step 4: Simplify right side
    105,673.74x = 9,538,313,385.46
  5. Step 5: Solve for x
    x = 9,538,313,385.46/105,673.74
  6. Step 6: Final answer
    x = 90,261.91

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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.