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Finding the Fourth Proportional to 152,649.70, 228,974.55 and 99,505.60

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Solution

The fourth proportional to 152,649.70, 228,974.55 and 99,505.60 is: 149,258.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,649.70 : 228,974.55 = 99,505.60 : x
  2. Step 2: Convert to fraction form
    152,649.70/228,974.55 = 99,505.60/x
  3. Step 3: Cross multiply
    152,649.70x = 228,974.55 × 99,505.60
  4. Step 4: Simplify right side
    152,649.70x = 22,784,249,982.48
  5. Step 5: Solve for x
    x = 22,784,249,982.48/152,649.70
  6. Step 6: Final answer
    x = 149,258.40

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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.