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Finding the Fourth Proportional to 145,334.25, 218,034.18 and 51,840

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Solution

The fourth proportional to 145,334.25, 218,034.18 and 51,840 is: 77,771.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,334.25 : 218,034.18 = 51,840 : x
  2. Step 2: Convert to fraction form
    145,334.25/218,034.18 = 51,840/x
  3. Step 3: Cross multiply
    145,334.25x = 218,034.18 × 51,840
  4. Step 4: Simplify right side
    145,334.25x = 11,302,891,891.20
  5. Step 5: Solve for x
    x = 11,302,891,891.20/145,334.25
  6. Step 6: Final answer
    x = 77,771.70

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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.