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Finding the Fourth Proportional to 148,599.90, 205,048.80 and 84,942

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Solution

The fourth proportional to 148,599.90, 205,048.80 and 84,942 is: 117,209.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,599.90 : 205,048.80 = 84,942 : x
  2. Step 2: Convert to fraction form
    148,599.90/205,048.80 = 84,942/x
  3. Step 3: Cross multiply
    148,599.90x = 205,048.80 × 84,942
  4. Step 4: Simplify right side
    148,599.90x = 17,417,255,169.60
  5. Step 5: Solve for x
    x = 17,417,255,169.60/148,599.90
  6. Step 6: Final answer
    x = 117,209.06

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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.