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Finding the Fourth Proportional to 70,391.84, 97,113.68 and 40,178.84

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Solution

The fourth proportional to 70,391.84, 97,113.68 and 40,178.84 is: 55,431.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,391.84 : 97,113.68 = 40,178.84 : x
  2. Step 2: Convert to fraction form
    70,391.84/97,113.68 = 40,178.84/x
  3. Step 3: Cross multiply
    70,391.84x = 97,113.68 × 40,178.84
  4. Step 4: Simplify right side
    70,391.84x = 3,901,915,010.53
  5. Step 5: Solve for x
    x = 3,901,915,010.53/70,391.84
  6. Step 6: Final answer
    x = 55,431.35

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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.