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Finding the Fourth Proportional to 205,886.15, 308,820.12 and 56,126.45

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Solution

The fourth proportional to 205,886.15, 308,820.12 and 56,126.45 is: 84,187.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,886.15 : 308,820.12 = 56,126.45 : x
  2. Step 2: Convert to fraction form
    205,886.15/308,820.12 = 56,126.45/x
  3. Step 3: Cross multiply
    205,886.15x = 308,820.12 × 56,126.45
  4. Step 4: Simplify right side
    205,886.15x = 17,332,975,480.07
  5. Step 5: Solve for x
    x = 17,332,975,480.07/205,886.15
  6. Step 6: Final answer
    x = 84,187.19

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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.