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Finding the Fourth Proportional to 77,595.52, 116,400 and 21,435.68

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Solution

The fourth proportional to 77,595.52, 116,400 and 21,435.68 is: 32,155.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,595.52 : 116,400 = 21,435.68 : x
  2. Step 2: Convert to fraction form
    77,595.52/116,400 = 21,435.68/x
  3. Step 3: Cross multiply
    77,595.52x = 116,400 × 21,435.68
  4. Step 4: Simplify right side
    77,595.52x = 2,495,113,152
  5. Step 5: Solve for x
    x = 2,495,113,152/77,595.52
  6. Step 6: Final answer
    x = 32,155.38

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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.