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Finding the Fourth Proportional to 55,585.68, 76,708.08 and 30,435

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Solution

The fourth proportional to 55,585.68, 76,708.08 and 30,435 is: 42,000.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,585.68 : 76,708.08 = 30,435 : x
  2. Step 2: Convert to fraction form
    55,585.68/76,708.08 = 30,435/x
  3. Step 3: Cross multiply
    55,585.68x = 76,708.08 × 30,435
  4. Step 4: Simplify right side
    55,585.68x = 2,334,610,414.80
  5. Step 5: Solve for x
    x = 2,334,610,414.80/55,585.68
  6. Step 6: Final answer
    x = 42,000.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.