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Finding the Fourth Proportional to 76,974, 106,214.73 and 42,984.37

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Solution

The fourth proportional to 76,974, 106,214.73 and 42,984.37 is: 59,313.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,974 : 106,214.73 = 42,984.37 : x
  2. Step 2: Convert to fraction form
    76,974/106,214.73 = 42,984.37/x
  3. Step 3: Cross multiply
    76,974x = 106,214.73 × 42,984.37
  4. Step 4: Simplify right side
    76,974x = 4,565,573,253.77
  5. Step 5: Solve for x
    x = 4,565,573,253.77/76,974
  6. Step 6: Final answer
    x = 59,313.19

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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.