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Finding the Fourth Proportional to 77,597.52, 116,403 and 21,437.68

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Solution

The fourth proportional to 77,597.52, 116,403 and 21,437.68 is: 32,158.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,597.52 : 116,403 = 21,437.68 : x
  2. Step 2: Convert to fraction form
    77,597.52/116,403 = 21,437.68/x
  3. Step 3: Cross multiply
    77,597.52x = 116,403 × 21,437.68
  4. Step 4: Simplify right side
    77,597.52x = 2,495,410,265.04
  5. Step 5: Solve for x
    x = 2,495,410,265.04/77,597.52
  6. Step 6: Final answer
    x = 32,158.38

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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.