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Finding the Fourth Proportional to 154,030, 231,045 and 55,534

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Solution

The fourth proportional to 154,030, 231,045 and 55,534 is: 83,301

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,030 : 231,045 = 55,534 : x
  2. Step 2: Convert to fraction form
    154,030/231,045 = 55,534/x
  3. Step 3: Cross multiply
    154,030x = 231,045 × 55,534
  4. Step 4: Simplify right side
    154,030x = 12,830,853,030
  5. Step 5: Solve for x
    x = 12,830,853,030/154,030
  6. Step 6: Final answer
    x = 83,301

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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.