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Finding the Fourth Proportional to 258,172.13, 356,310.95 and 144,994.88

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Solution

The fourth proportional to 258,172.13, 356,310.95 and 144,994.88 is: 200,111.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,172.13 : 356,310.95 = 144,994.88 : x
  2. Step 2: Convert to fraction form
    258,172.13/356,310.95 = 144,994.88/x
  3. Step 3: Cross multiply
    258,172.13x = 356,310.95 × 144,994.88
  4. Step 4: Simplify right side
    258,172.13x = 51,663,260,931.41
  5. Step 5: Solve for x
    x = 51,663,260,931.41/258,172.13
  6. Step 6: Final answer
    x = 200,111.69

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1.5x scale

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.