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Finding the Fourth Proportional to 114,457, 157,960.40 and 64,165.72

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Solution

The fourth proportional to 114,457, 157,960.40 and 64,165.72 is: 88,554.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,457 : 157,960.40 = 64,165.72 : x
  2. Step 2: Convert to fraction form
    114,457/157,960.40 = 64,165.72/x
  3. Step 3: Cross multiply
    114,457x = 157,960.40 × 64,165.72
  4. Step 4: Simplify right side
    114,457x = 10,135,642,797.49
  5. Step 5: Solve for x
    x = 10,135,642,797.49/114,457
  6. Step 6: Final answer
    x = 88,554.15

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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.