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Finding the Fourth Proportional to 76,378.16, 114,569.16 and 20,974

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Solution

The fourth proportional to 76,378.16, 114,569.16 and 20,974 is: 31,461.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,378.16 : 114,569.16 = 20,974 : x
  2. Step 2: Convert to fraction form
    76,378.16/114,569.16 = 20,974/x
  3. Step 3: Cross multiply
    76,378.16x = 114,569.16 × 20,974
  4. Step 4: Simplify right side
    76,378.16x = 2,402,973,561.84
  5. Step 5: Solve for x
    x = 2,402,973,561.84/76,378.16
  6. Step 6: Final answer
    x = 31,461.53

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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.