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Finding the Fourth Proportional to 147,523.20, 221,371.20 and 54,038.40

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Solution

The fourth proportional to 147,523.20, 221,371.20 and 54,038.40 is: 81,089.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,523.20 : 221,371.20 = 54,038.40 : x
  2. Step 2: Convert to fraction form
    147,523.20/221,371.20 = 54,038.40/x
  3. Step 3: Cross multiply
    147,523.20x = 221,371.20 × 54,038.40
  4. Step 4: Simplify right side
    147,523.20x = 11,962,545,454.08
  5. Step 5: Solve for x
    x = 11,962,545,454.08/147,523.20
  6. Step 6: Final answer
    x = 81,089.25

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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.