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Finding the Fourth Proportional to 76,458.87, 105,513.24 and 42,924.87

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Solution

The fourth proportional to 76,458.87, 105,513.24 and 42,924.87 is: 59,236.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,458.87 : 105,513.24 = 42,924.87 : x
  2. Step 2: Convert to fraction form
    76,458.87/105,513.24 = 42,924.87/x
  3. Step 3: Cross multiply
    76,458.87x = 105,513.24 × 42,924.87
  4. Step 4: Simplify right side
    76,458.87x = 4,529,141,368.09
  5. Step 5: Solve for x
    x = 4,529,141,368.09/76,458.87
  6. Step 6: Final answer
    x = 59,236.31

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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.