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Finding the Fourth Proportional to 76,357.65, 105,435.47 and 47,710.69

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Solution

The fourth proportional to 76,357.65, 105,435.47 and 47,710.69 is: 65,879.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,357.65 : 105,435.47 = 47,710.69 : x
  2. Step 2: Convert to fraction form
    76,357.65/105,435.47 = 47,710.69/x
  3. Step 3: Cross multiply
    76,357.65x = 105,435.47 × 47,710.69
  4. Step 4: Simplify right side
    76,357.65x = 5,030,398,879.86
  5. Step 5: Solve for x
    x = 5,030,398,879.86/76,357.65
  6. Step 6: Final answer
    x = 65,879.43

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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.