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Finding the Fourth Proportional to 229,864.77, 344,793.69 and 103,415.72

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Solution

The fourth proportional to 229,864.77, 344,793.69 and 103,415.72 is: 155,122.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,864.77 : 344,793.69 = 103,415.72 : x
  2. Step 2: Convert to fraction form
    229,864.77/344,793.69 = 103,415.72/x
  3. Step 3: Cross multiply
    229,864.77x = 344,793.69 × 103,415.72
  4. Step 4: Simplify right side
    229,864.77x = 35,657,085,978.84
  5. Step 5: Solve for x
    x = 35,657,085,978.84/229,864.77
  6. Step 6: Final answer
    x = 155,122.01

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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.