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Finding the Fourth Proportional to 123,411.09, 185,123.51 and 34,657.64

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Solution

The fourth proportional to 123,411.09, 185,123.51 and 34,657.64 is: 51,988.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,411.09 : 185,123.51 = 34,657.64 : x
  2. Step 2: Convert to fraction form
    123,411.09/185,123.51 = 34,657.64/x
  3. Step 3: Cross multiply
    123,411.09x = 185,123.51 × 34,657.64
  4. Step 4: Simplify right side
    123,411.09x = 6,415,944,254.64
  5. Step 5: Solve for x
    x = 6,415,944,254.64/123,411.09
  6. Step 6: Final answer
    x = 51,988.39

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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.