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Finding the Fourth Proportional to 228,964.02, 343,203.63 and 77,016.45

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Solution

The fourth proportional to 228,964.02, 343,203.63 and 77,016.45 is: 115,443.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,964.02 : 343,203.63 = 77,016.45 : x
  2. Step 2: Convert to fraction form
    228,964.02/343,203.63 = 77,016.45/x
  3. Step 3: Cross multiply
    228,964.02x = 343,203.63 × 77,016.45
  4. Step 4: Simplify right side
    228,964.02x = 26,432,323,108.61
  5. Step 5: Solve for x
    x = 26,432,323,108.61/228,964.02
  6. Step 6: Final answer
    x = 115,443.13

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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.