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Finding the Fourth Proportional to 245,665.71, 368,503.11 and 77,182.88

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Solution

The fourth proportional to 245,665.71, 368,503.11 and 77,182.88 is: 115,775.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,665.71 : 368,503.11 = 77,182.88 : x
  2. Step 2: Convert to fraction form
    245,665.71/368,503.11 = 77,182.88/x
  3. Step 3: Cross multiply
    245,665.71x = 368,503.11 × 77,182.88
  4. Step 4: Simplify right side
    245,665.71x = 28,442,129,476.24
  5. Step 5: Solve for x
    x = 28,442,129,476.24/245,665.71
  6. Step 6: Final answer
    x = 115,775.74

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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.