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Finding the Fourth Proportional to 148,768.30, 205,300.02 and 81,700.30

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Solution

The fourth proportional to 148,768.30, 205,300.02 and 81,700.30 is: 112,746.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,768.30 : 205,300.02 = 81,700.30 : x
  2. Step 2: Convert to fraction form
    148,768.30/205,300.02 = 81,700.30/x
  3. Step 3: Cross multiply
    148,768.30x = 205,300.02 × 81,700.30
  4. Step 4: Simplify right side
    148,768.30x = 16,773,073,224.01
  5. Step 5: Solve for x
    x = 16,773,073,224.01/148,768.30
  6. Step 6: Final answer
    x = 112,746.29

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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.