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Finding the Fourth Proportional to 163,470, 243,774.48 and 161,975.25

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Solution

The fourth proportional to 163,470, 243,774.48 and 161,975.25 is: 241,545.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,470 : 243,774.48 = 161,975.25 : x
  2. Step 2: Convert to fraction form
    163,470/243,774.48 = 161,975.25/x
  3. Step 3: Cross multiply
    163,470x = 243,774.48 × 161,975.25
  4. Step 4: Simplify right side
    163,470x = 39,485,432,341.62
  5. Step 5: Solve for x
    x = 39,485,432,341.62/163,470
  6. Step 6: Final answer
    x = 241,545.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.