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Finding the Fourth Proportional to 147,641.40, 221,462.10 and 103,404.60

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Solution

The fourth proportional to 147,641.40, 221,462.10 and 103,404.60 is: 155,106.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,641.40 : 221,462.10 = 103,404.60 : x
  2. Step 2: Convert to fraction form
    147,641.40/221,462.10 = 103,404.60/x
  3. Step 3: Cross multiply
    147,641.40x = 221,462.10 × 103,404.60
  4. Step 4: Simplify right side
    147,641.40x = 22,900,199,865.66
  5. Step 5: Solve for x
    x = 22,900,199,865.66/147,641.40
  6. Step 6: Final answer
    x = 155,106.90

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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.