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Finding the Fourth Proportional to 147,918.96, 221,936.76 and 54,432

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Solution

The fourth proportional to 147,918.96, 221,936.76 and 54,432 is: 81,669.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,918.96 : 221,936.76 = 54,432 : x
  2. Step 2: Convert to fraction form
    147,918.96/221,936.76 = 54,432/x
  3. Step 3: Cross multiply
    147,918.96x = 221,936.76 × 54,432
  4. Step 4: Simplify right side
    147,918.96x = 12,080,461,720.32
  5. Step 5: Solve for x
    x = 12,080,461,720.32/147,918.96
  6. Step 6: Final answer
    x = 81,669.46

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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.