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Finding the Fourth Proportional to 148,280, 204,626.40 and 81,214.40

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Solution

The fourth proportional to 148,280, 204,626.40 and 81,214.40 is: 112,075.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,280 : 204,626.40 = 81,214.40 : x
  2. Step 2: Convert to fraction form
    148,280/204,626.40 = 81,214.40/x
  3. Step 3: Cross multiply
    148,280x = 204,626.40 × 81,214.40
  4. Step 4: Simplify right side
    148,280x = 16,618,610,300.16
  5. Step 5: Solve for x
    x = 16,618,610,300.16/148,280
  6. Step 6: Final answer
    x = 112,075.87

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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.