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Finding the Fourth Proportional to 201,761.40, 278,457.42 and 130,349.16

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Solution

The fourth proportional to 201,761.40, 278,457.42 and 130,349.16 is: 179,899.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,761.40 : 278,457.42 = 130,349.16 : x
  2. Step 2: Convert to fraction form
    201,761.40/278,457.42 = 130,349.16/x
  3. Step 3: Cross multiply
    201,761.40x = 278,457.42 × 130,349.16
  4. Step 4: Simplify right side
    201,761.40x = 36,296,690,792.77
  5. Step 5: Solve for x
    x = 36,296,690,792.77/201,761.40
  6. Step 6: Final answer
    x = 179,899.08

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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.