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Finding the Fourth Proportional to 423,205.76, 634,812.36 and 107,663

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Solution

The fourth proportional to 423,205.76, 634,812.36 and 107,663 is: 161,495.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,205.76 : 634,812.36 = 107,663 : x
  2. Step 2: Convert to fraction form
    423,205.76/634,812.36 = 107,663/x
  3. Step 3: Cross multiply
    423,205.76x = 634,812.36 × 107,663
  4. Step 4: Simplify right side
    423,205.76x = 68,345,803,114.68
  5. Step 5: Solve for x
    x = 68,345,803,114.68/423,205.76
  6. Step 6: Final answer
    x = 161,495.45

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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.