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Finding the Fourth Proportional to 56,265.60, 84,340.80 and 31,267.20

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Solution

The fourth proportional to 56,265.60, 84,340.80 and 31,267.20 is: 46,868.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,265.60 : 84,340.80 = 31,267.20 : x
  2. Step 2: Convert to fraction form
    56,265.60/84,340.80 = 31,267.20/x
  3. Step 3: Cross multiply
    56,265.60x = 84,340.80 × 31,267.20
  4. Step 4: Simplify right side
    56,265.60x = 2,637,100,661.76
  5. Step 5: Solve for x
    x = 2,637,100,661.76/56,265.60
  6. Step 6: Final answer
    x = 46,868.79

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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.