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Finding the Fourth Proportional to 261,533.76, 360,943.16 and 154,138.39

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Solution

The fourth proportional to 261,533.76, 360,943.16 and 154,138.39 is: 212,726.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,533.76 : 360,943.16 = 154,138.39 : x
  2. Step 2: Convert to fraction form
    261,533.76/360,943.16 = 154,138.39/x
  3. Step 3: Cross multiply
    261,533.76x = 360,943.16 × 154,138.39
  4. Step 4: Simplify right side
    261,533.76x = 55,635,199,221.71
  5. Step 5: Solve for x
    x = 55,635,199,221.71/261,533.76
  6. Step 6: Final answer
    x = 212,726.64

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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.