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Finding the Fourth Proportional to 148,830, 205,386.84 and 81,763.44

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Solution

The fourth proportional to 148,830, 205,386.84 and 81,763.44 is: 112,834.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,830 : 205,386.84 = 81,763.44 : x
  2. Step 2: Convert to fraction form
    148,830/205,386.84 = 81,763.44/x
  3. Step 3: Cross multiply
    148,830x = 205,386.84 × 81,763.44
  4. Step 4: Simplify right side
    148,830x = 16,793,134,569.13
  5. Step 5: Solve for x
    x = 16,793,134,569.13/148,830
  6. Step 6: Final answer
    x = 112,834.34

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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.