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Finding the Fourth Proportional to 145,152.80, 200,297.04 and 81,476

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Solution

The fourth proportional to 145,152.80, 200,297.04 and 81,476 is: 112,429.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,152.80 : 200,297.04 = 81,476 : x
  2. Step 2: Convert to fraction form
    145,152.80/200,297.04 = 81,476/x
  3. Step 3: Cross multiply
    145,152.80x = 200,297.04 × 81,476
  4. Step 4: Simplify right side
    145,152.80x = 16,319,401,631.04
  5. Step 5: Solve for x
    x = 16,319,401,631.04/145,152.80
  6. Step 6: Final answer
    x = 112,429.12

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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.