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Finding the Fourth Proportional to 78,368.14, 108,165.24 and 51,513.14

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Solution

The fourth proportional to 78,368.14, 108,165.24 and 51,513.14 is: 71,099.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,368.14 : 108,165.24 = 51,513.14 : x
  2. Step 2: Convert to fraction form
    78,368.14/108,165.24 = 51,513.14/x
  3. Step 3: Cross multiply
    78,368.14x = 108,165.24 × 51,513.14
  4. Step 4: Simplify right side
    78,368.14x = 5,571,931,151.25
  5. Step 5: Solve for x
    x = 5,571,931,151.25/78,368.14
  6. Step 6: Final answer
    x = 71,099.45

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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.