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Finding the Fourth Proportional to 76,763.98, 115,271.01 and 47,368.68

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Solution

The fourth proportional to 76,763.98, 115,271.01 and 47,368.68 is: 71,130.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,763.98 : 115,271.01 = 47,368.68 : x
  2. Step 2: Convert to fraction form
    76,763.98/115,271.01 = 47,368.68/x
  3. Step 3: Cross multiply
    76,763.98x = 115,271.01 × 47,368.68
  4. Step 4: Simplify right side
    76,763.98x = 5,460,235,585.97
  5. Step 5: Solve for x
    x = 5,460,235,585.97/76,763.98
  6. Step 6: Final answer
    x = 71,130.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.