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Finding the Fourth Proportional to 345,783.88, 518,657.46 and 105,897.70

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Solution

The fourth proportional to 345,783.88, 518,657.46 and 105,897.70 is: 158,840.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,783.88 : 518,657.46 = 105,897.70 : x
  2. Step 2: Convert to fraction form
    345,783.88/518,657.46 = 105,897.70/x
  3. Step 3: Cross multiply
    345,783.88x = 518,657.46 × 105,897.70
  4. Step 4: Simplify right side
    345,783.88x = 54,924,632,101.84
  5. Step 5: Solve for x
    x = 54,924,632,101.84/345,783.88
  6. Step 6: Final answer
    x = 158,840.93

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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.