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Finding the Fourth Proportional to 146,688, 202,429.62 and 79,620

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Solution

The fourth proportional to 146,688, 202,429.62 and 79,620 is: 109,875.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,688 : 202,429.62 = 79,620 : x
  2. Step 2: Convert to fraction form
    146,688/202,429.62 = 79,620/x
  3. Step 3: Cross multiply
    146,688x = 202,429.62 × 79,620
  4. Step 4: Simplify right side
    146,688x = 16,117,446,344.40
  5. Step 5: Solve for x
    x = 16,117,446,344.40/146,688
  6. Step 6: Final answer
    x = 109,875.70

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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.