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Finding the Fourth Proportional to 145,153.16, 200,311.21 and 81,491.08

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Solution

The fourth proportional to 145,153.16, 200,311.21 and 81,491.08 is: 112,457.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,153.16 : 200,311.21 = 81,491.08 : x
  2. Step 2: Convert to fraction form
    145,153.16/200,311.21 = 81,491.08/x
  3. Step 3: Cross multiply
    145,153.16x = 200,311.21 × 81,491.08
  4. Step 4: Simplify right side
    145,153.16x = 16,323,576,839.01
  5. Step 5: Solve for x
    x = 16,323,576,839.01/145,153.16
  6. Step 6: Final answer
    x = 112,457.61

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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.