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Finding the Fourth Proportional to 76,999.50, 106,259.31 and 43,465.50

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Solution

The fourth proportional to 76,999.50, 106,259.31 and 43,465.50 is: 59,982.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,999.50 : 106,259.31 = 43,465.50 : x
  2. Step 2: Convert to fraction form
    76,999.50/106,259.31 = 43,465.50/x
  3. Step 3: Cross multiply
    76,999.50x = 106,259.31 × 43,465.50
  4. Step 4: Simplify right side
    76,999.50x = 4,618,614,038.81
  5. Step 5: Solve for x
    x = 4,618,614,038.81/76,999.50
  6. Step 6: Final answer
    x = 59,982.39

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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.