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Finding the Fourth Proportional to 146,769, 202,543.74 and 79,701

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Solution

The fourth proportional to 146,769, 202,543.74 and 79,701 is: 109,988.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,769 : 202,543.74 = 79,701 : x
  2. Step 2: Convert to fraction form
    146,769/202,543.74 = 79,701/x
  3. Step 3: Cross multiply
    146,769x = 202,543.74 × 79,701
  4. Step 4: Simplify right side
    146,769x = 16,142,938,621.74
  5. Step 5: Solve for x
    x = 16,142,938,621.74/146,769
  6. Step 6: Final answer
    x = 109,988.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.