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Finding the Fourth Proportional to 113,960.40, 157,175.68 and 106,321

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Solution

The fourth proportional to 113,960.40, 157,175.68 and 106,321 is: 146,639.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,960.40 : 157,175.68 = 106,321 : x
  2. Step 2: Convert to fraction form
    113,960.40/157,175.68 = 106,321/x
  3. Step 3: Cross multiply
    113,960.40x = 157,175.68 × 106,321
  4. Step 4: Simplify right side
    113,960.40x = 16,711,075,473.28
  5. Step 5: Solve for x
    x = 16,711,075,473.28/113,960.40
  6. Step 6: Final answer
    x = 146,639.32

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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.