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Finding the Fourth Proportional to 76,537.94, 105,585.57 and 65,909.12

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Solution

The fourth proportional to 76,537.94, 105,585.57 and 65,909.12 is: 90,922.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,537.94 : 105,585.57 = 65,909.12 : x
  2. Step 2: Convert to fraction form
    76,537.94/105,585.57 = 65,909.12/x
  3. Step 3: Cross multiply
    76,537.94x = 105,585.57 × 65,909.12
  4. Step 4: Simplify right side
    76,537.94x = 6,959,051,475.47
  5. Step 5: Solve for x
    x = 6,959,051,475.47/76,537.94
  6. Step 6: Final answer
    x = 90,922.91

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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.