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Finding the Fourth Proportional to 52,758, 79,128.36 and 37,128.24

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Solution

The fourth proportional to 52,758, 79,128.36 and 37,128.24 is: 55,686.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,758 : 79,128.36 = 37,128.24 : x
  2. Step 2: Convert to fraction form
    52,758/79,128.36 = 37,128.24/x
  3. Step 3: Cross multiply
    52,758x = 79,128.36 × 37,128.24
  4. Step 4: Simplify right side
    52,758x = 2,937,896,740.89
  5. Step 5: Solve for x
    x = 2,937,896,740.89/52,758
  6. Step 6: Final answer
    x = 55,686.28

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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.