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Finding the Fourth Proportional to 78,148.28, 117,309.90 and 51,904.28

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Solution

The fourth proportional to 78,148.28, 117,309.90 and 51,904.28 is: 77,914.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,148.28 : 117,309.90 = 51,904.28 : x
  2. Step 2: Convert to fraction form
    78,148.28/117,309.90 = 51,904.28/x
  3. Step 3: Cross multiply
    78,148.28x = 117,309.90 × 51,904.28
  4. Step 4: Simplify right side
    78,148.28x = 6,088,885,309.82
  5. Step 5: Solve for x
    x = 6,088,885,309.82/78,148.28
  6. Step 6: Final answer
    x = 77,914.52

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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.