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Finding the Fourth Proportional to 82,702.37, 124,054.51 and 78,668.89

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Solution

The fourth proportional to 82,702.37, 124,054.51 and 78,668.89 is: 118,004.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,702.37 : 124,054.51 = 78,668.89 : x
  2. Step 2: Convert to fraction form
    82,702.37/124,054.51 = 78,668.89/x
  3. Step 3: Cross multiply
    82,702.37x = 124,054.51 × 78,668.89
  4. Step 4: Simplify right side
    82,702.37x = 9,759,229,980.92
  5. Step 5: Solve for x
    x = 9,759,229,980.92/82,702.37
  6. Step 6: Final answer
    x = 118,004.24

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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.