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Finding the Fourth Proportional to 135,407.52, 186,883.47 and 77,264.37

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Solution

The fourth proportional to 135,407.52, 186,883.47 and 77,264.37 is: 106,636.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,407.52 : 186,883.47 = 77,264.37 : x
  2. Step 2: Convert to fraction form
    135,407.52/186,883.47 = 77,264.37/x
  3. Step 3: Cross multiply
    135,407.52x = 186,883.47 × 77,264.37
  4. Step 4: Simplify right side
    135,407.52x = 14,439,433,572.96
  5. Step 5: Solve for x
    x = 14,439,433,572.96/135,407.52
  6. Step 6: Final answer
    x = 106,636.87

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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.