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Finding the Fourth Proportional to 143,283.40, 214,925.10 and 99,046.60

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Solution

The fourth proportional to 143,283.40, 214,925.10 and 99,046.60 is: 148,569.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,283.40 : 214,925.10 = 99,046.60 : x
  2. Step 2: Convert to fraction form
    143,283.40/214,925.10 = 99,046.60/x
  3. Step 3: Cross multiply
    143,283.40x = 214,925.10 × 99,046.60
  4. Step 4: Simplify right side
    143,283.40x = 21,287,600,409.66
  5. Step 5: Solve for x
    x = 21,287,600,409.66/143,283.40
  6. Step 6: Final answer
    x = 148,569.90

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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.