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Finding the Fourth Proportional to 105,679.46, 145,852.67 and 65,406.20

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Solution

The fourth proportional to 105,679.46, 145,852.67 and 65,406.20 is: 90,269.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,679.46 : 145,852.67 = 65,406.20 : x
  2. Step 2: Convert to fraction form
    105,679.46/145,852.67 = 65,406.20/x
  3. Step 3: Cross multiply
    105,679.46x = 145,852.67 × 65,406.20
  4. Step 4: Simplify right side
    105,679.46x = 9,539,667,848.26
  5. Step 5: Solve for x
    x = 9,539,667,848.26/105,679.46
  6. Step 6: Final answer
    x = 90,269.84

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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.