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Finding the Fourth Proportional to 145,335.25, 218,035.68 and 51,841

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Solution

The fourth proportional to 145,335.25, 218,035.68 and 51,841 is: 77,773.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,335.25 : 218,035.68 = 51,841 : x
  2. Step 2: Convert to fraction form
    145,335.25/218,035.68 = 51,841/x
  3. Step 3: Cross multiply
    145,335.25x = 218,035.68 × 51,841
  4. Step 4: Simplify right side
    145,335.25x = 11,303,187,686.88
  5. Step 5: Solve for x
    x = 11,303,187,686.88/145,335.25
  6. Step 6: Final answer
    x = 77,773.20

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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.