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Finding the Fourth Proportional to 145,959.89, 201,424.65 and 78,891.89

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Solution

The fourth proportional to 145,959.89, 201,424.65 and 78,891.89 is: 108,870.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,959.89 : 201,424.65 = 78,891.89 : x
  2. Step 2: Convert to fraction form
    145,959.89/201,424.65 = 78,891.89/x
  3. Step 3: Cross multiply
    145,959.89x = 201,424.65 × 78,891.89
  4. Step 4: Simplify right side
    145,959.89x = 15,890,771,331.09
  5. Step 5: Solve for x
    x = 15,890,771,331.09/145,959.89
  6. Step 6: Final answer
    x = 108,870.81

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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.