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Finding the Fourth Proportional to 423,203.76, 634,809.36 and 107,661

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Solution

The fourth proportional to 423,203.76, 634,809.36 and 107,661 is: 161,492.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,203.76 : 634,809.36 = 107,661 : x
  2. Step 2: Convert to fraction form
    423,203.76/634,809.36 = 107,661/x
  3. Step 3: Cross multiply
    423,203.76x = 634,809.36 × 107,661
  4. Step 4: Simplify right side
    423,203.76x = 68,344,210,506.96
  5. Step 5: Solve for x
    x = 68,344,210,506.96/423,203.76
  6. Step 6: Final answer
    x = 161,492.45

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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.