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Finding the Fourth Proportional to 148,638.98, 205,121.94 and 84,978.16

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Solution

The fourth proportional to 148,638.98, 205,121.94 and 84,978.16 is: 117,269.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,638.98 : 205,121.94 = 84,978.16 : x
  2. Step 2: Convert to fraction form
    148,638.98/205,121.94 = 84,978.16/x
  3. Step 3: Cross multiply
    148,638.98x = 205,121.94 × 84,978.16
  4. Step 4: Simplify right side
    148,638.98x = 17,430,885,036.83
  5. Step 5: Solve for x
    x = 17,430,885,036.83/148,638.98
  6. Step 6: Final answer
    x = 117,269.95

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1.5x scale

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.