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Finding the Fourth Proportional to 76,515.90, 105,565.59 and 47,815.98

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Solution

The fourth proportional to 76,515.90, 105,565.59 and 47,815.98 is: 65,969.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,515.90 : 105,565.59 = 47,815.98 : x
  2. Step 2: Convert to fraction form
    76,515.90/105,565.59 = 47,815.98/x
  3. Step 3: Cross multiply
    76,515.90x = 105,565.59 × 47,815.98
  4. Step 4: Simplify right side
    76,515.90x = 5,047,722,140.13
  5. Step 5: Solve for x
    x = 5,047,722,140.13/76,515.90
  6. Step 6: Final answer
    x = 65,969.58

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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.