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Finding the Fourth Proportional to 105,585.42, 145,652.64 and 65,286.30

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Solution

The fourth proportional to 105,585.42, 145,652.64 and 65,286.30 is: 90,060.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,585.42 : 145,652.64 = 65,286.30 : x
  2. Step 2: Convert to fraction form
    105,585.42/145,652.64 = 65,286.30/x
  3. Step 3: Cross multiply
    105,585.42x = 145,652.64 × 65,286.30
  4. Step 4: Simplify right side
    105,585.42x = 9,509,121,950.83
  5. Step 5: Solve for x
    x = 9,509,121,950.83/105,585.42
  6. Step 6: Final answer
    x = 90,060.94

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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.