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Finding the Fourth Proportional to 165,810.88, 228,656.45 and 105,276.43

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Solution

The fourth proportional to 165,810.88, 228,656.45 and 105,276.43 is: 145,178.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,810.88 : 228,656.45 = 105,276.43 : x
  2. Step 2: Convert to fraction form
    165,810.88/228,656.45 = 105,276.43/x
  3. Step 3: Cross multiply
    165,810.88x = 228,656.45 × 105,276.43
  4. Step 4: Simplify right side
    165,810.88x = 24,072,133,654.45
  5. Step 5: Solve for x
    x = 24,072,133,654.45/165,810.88
  6. Step 6: Final answer
    x = 145,178.25

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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.