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Finding the Fourth Proportional to 252,649.68, 348,654.42 and 139,470

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Solution

The fourth proportional to 252,649.68, 348,654.42 and 139,470 is: 192,467.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,649.68 : 348,654.42 = 139,470 : x
  2. Step 2: Convert to fraction form
    252,649.68/348,654.42 = 139,470/x
  3. Step 3: Cross multiply
    252,649.68x = 348,654.42 × 139,470
  4. Step 4: Simplify right side
    252,649.68x = 48,626,831,957.40
  5. Step 5: Solve for x
    x = 48,626,831,957.40/252,649.68
  6. Step 6: Final answer
    x = 192,467.42

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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.