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Finding the Fourth Proportional to 78,312.51, 117,531.18 and 28,406.97

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Solution

The fourth proportional to 78,312.51, 117,531.18 and 28,406.97 is: 42,633.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,312.51 : 117,531.18 = 28,406.97 : x
  2. Step 2: Convert to fraction form
    78,312.51/117,531.18 = 28,406.97/x
  3. Step 3: Cross multiply
    78,312.51x = 117,531.18 × 28,406.97
  4. Step 4: Simplify right side
    78,312.51x = 3,338,704,704.32
  5. Step 5: Solve for x
    x = 3,338,704,704.32/78,312.51
  6. Step 6: Final answer
    x = 42,633.10

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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.