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Finding the Fourth Proportional to 76,416.54, 105,323.67 and 65,763.42

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Solution

The fourth proportional to 76,416.54, 105,323.67 and 65,763.42 is: 90,640.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,416.54 : 105,323.67 = 65,763.42 : x
  2. Step 2: Convert to fraction form
    76,416.54/105,323.67 = 65,763.42/x
  3. Step 3: Cross multiply
    76,416.54x = 105,323.67 × 65,763.42
  4. Step 4: Simplify right side
    76,416.54x = 6,926,444,746.15
  5. Step 5: Solve for x
    x = 6,926,444,746.15/76,416.54
  6. Step 6: Final answer
    x = 90,640.65

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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.