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Finding the Fourth Proportional to 163,728, 245,669.76 and 52,920

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Solution

The fourth proportional to 163,728, 245,669.76 and 52,920 is: 79,405.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,728 : 245,669.76 = 52,920 : x
  2. Step 2: Convert to fraction form
    163,728/245,669.76 = 52,920/x
  3. Step 3: Cross multiply
    163,728x = 245,669.76 × 52,920
  4. Step 4: Simplify right side
    163,728x = 13,000,843,699.20
  5. Step 5: Solve for x
    x = 13,000,843,699.20/163,728
  6. Step 6: Final answer
    x = 79,405.13

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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.