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Finding the Fourth Proportional to 147,797.34, 221,661.45 and 47,931.90

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Solution

The fourth proportional to 147,797.34, 221,661.45 and 47,931.90 is: 71,886.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,797.34 : 221,661.45 = 47,931.90 : x
  2. Step 2: Convert to fraction form
    147,797.34/221,661.45 = 47,931.90/x
  3. Step 3: Cross multiply
    147,797.34x = 221,661.45 × 47,931.90
  4. Step 4: Simplify right side
    147,797.34x = 10,624,654,455.26
  5. Step 5: Solve for x
    x = 10,624,654,455.26/147,797.34
  6. Step 6: Final answer
    x = 71,886.64

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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.