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Finding the Fourth Proportional to 55,410.52, 83,130 and 15,970.72

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Solution

The fourth proportional to 55,410.52, 83,130 and 15,970.72 is: 23,960.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,410.52 : 83,130 = 15,970.72 : x
  2. Step 2: Convert to fraction form
    55,410.52/83,130 = 15,970.72/x
  3. Step 3: Cross multiply
    55,410.52x = 83,130 × 15,970.72
  4. Step 4: Simplify right side
    55,410.52x = 1,327,645,953.60
  5. Step 5: Solve for x
    x = 1,327,645,953.60/55,410.52
  6. Step 6: Final answer
    x = 23,960.18

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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.