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Finding the Fourth Proportional to 70,782.57, 97,684.16 and 40,569.84

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Solution

The fourth proportional to 70,782.57, 97,684.16 and 40,569.84 is: 55,988.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,782.57 : 97,684.16 = 40,569.84 : x
  2. Step 2: Convert to fraction form
    70,782.57/97,684.16 = 40,569.84/x
  3. Step 3: Cross multiply
    70,782.57x = 97,684.16 × 40,569.84
  4. Step 4: Simplify right side
    70,782.57x = 3,963,030,741.73
  5. Step 5: Solve for x
    x = 3,963,030,741.73/70,782.57
  6. Step 6: Final answer
    x = 55,988.79

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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.