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Finding the Fourth Proportional to 70,767.84, 97,661.95 and 40,558.95

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Solution

The fourth proportional to 70,767.84, 97,661.95 and 40,558.95 is: 55,972.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,767.84 : 97,661.95 = 40,558.95 : x
  2. Step 2: Convert to fraction form
    70,767.84/97,661.95 = 40,558.95/x
  3. Step 3: Cross multiply
    70,767.84x = 97,661.95 × 40,558.95
  4. Step 4: Simplify right side
    70,767.84x = 3,961,066,146.95
  5. Step 5: Solve for x
    x = 3,961,066,146.95/70,767.84
  6. Step 6: Final answer
    x = 55,972.69

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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.