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Finding the Fourth Proportional to 154,971.60, 232,489.80 and 49,801.20

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Solution

The fourth proportional to 154,971.60, 232,489.80 and 49,801.20 is: 74,712.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,971.60 : 232,489.80 = 49,801.20 : x
  2. Step 2: Convert to fraction form
    154,971.60/232,489.80 = 49,801.20/x
  3. Step 3: Cross multiply
    154,971.60x = 232,489.80 × 49,801.20
  4. Step 4: Simplify right side
    154,971.60x = 11,578,271,027.76
  5. Step 5: Solve for x
    x = 11,578,271,027.76/154,971.60
  6. Step 6: Final answer
    x = 74,712.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.