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Finding the Fourth Proportional to 76,278, 105,270.12 and 42,750.48

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Solution

The fourth proportional to 76,278, 105,270.12 and 42,750.48 is: 58,999.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,278 : 105,270.12 = 42,750.48 : x
  2. Step 2: Convert to fraction form
    76,278/105,270.12 = 42,750.48/x
  3. Step 3: Cross multiply
    76,278x = 105,270.12 × 42,750.48
  4. Step 4: Simplify right side
    76,278x = 4,500,348,159.66
  5. Step 5: Solve for x
    x = 4,500,348,159.66/76,278
  6. Step 6: Final answer
    x = 58,999.29

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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.