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Finding the Fourth Proportional to 78,372.51, 117,509.56 and 51,689.75

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Solution

The fourth proportional to 78,372.51, 117,509.56 and 51,689.75 is: 77,502.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,372.51 : 117,509.56 = 51,689.75 : x
  2. Step 2: Convert to fraction form
    78,372.51/117,509.56 = 51,689.75/x
  3. Step 3: Cross multiply
    78,372.51x = 117,509.56 × 51,689.75
  4. Step 4: Simplify right side
    78,372.51x = 6,074,039,207.62
  5. Step 5: Solve for x
    x = 6,074,039,207.62/78,372.51
  6. Step 6: Final answer
    x = 77,502.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.