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Finding the Fourth Proportional to 76,798.98, 105,970.41 and 43,258.50

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Solution

The fourth proportional to 76,798.98, 105,970.41 and 43,258.50 is: 59,689.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,798.98 : 105,970.41 = 43,258.50 : x
  2. Step 2: Convert to fraction form
    76,798.98/105,970.41 = 43,258.50/x
  3. Step 3: Cross multiply
    76,798.98x = 105,970.41 × 43,258.50
  4. Step 4: Simplify right side
    76,798.98x = 4,584,120,980.99
  5. Step 5: Solve for x
    x = 4,584,120,980.99/76,798.98
  6. Step 6: Final answer
    x = 59,689.87

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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.