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Finding the Fourth Proportional to 148,645, 205,130.10 and 89,029

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Solution

The fourth proportional to 148,645, 205,130.10 and 89,029 is: 122,860.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,645 : 205,130.10 = 89,029 : x
  2. Step 2: Convert to fraction form
    148,645/205,130.10 = 89,029/x
  3. Step 3: Cross multiply
    148,645x = 205,130.10 × 89,029
  4. Step 4: Simplify right side
    148,645x = 18,262,527,672.90
  5. Step 5: Solve for x
    x = 18,262,527,672.90/148,645
  6. Step 6: Final answer
    x = 122,860.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.