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Finding the Fourth Proportional to 99,670.71, 149,506.07 and 47,085.51

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Solution

The fourth proportional to 99,670.71, 149,506.07 and 47,085.51 is: 70,628.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,670.71 : 149,506.07 = 47,085.51 : x
  2. Step 2: Convert to fraction form
    99,670.71/149,506.07 = 47,085.51/x
  3. Step 3: Cross multiply
    99,670.71x = 149,506.07 × 47,085.51
  4. Step 4: Simplify right side
    99,670.71x = 7,039,569,318.62
  5. Step 5: Solve for x
    x = 7,039,569,318.62/99,670.71
  6. Step 6: Final answer
    x = 70,628.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.