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Finding the Fourth Proportional to 78,136.58, 107,828.74 and 42,326.48

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Solution

The fourth proportional to 78,136.58, 107,828.74 and 42,326.48 is: 58,410.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,136.58 : 107,828.74 = 42,326.48 : x
  2. Step 2: Convert to fraction form
    78,136.58/107,828.74 = 42,326.48/x
  3. Step 3: Cross multiply
    78,136.58x = 107,828.74 × 42,326.48
  4. Step 4: Simplify right side
    78,136.58x = 4,564,010,362.08
  5. Step 5: Solve for x
    x = 4,564,010,362.08/78,136.58
  6. Step 6: Final answer
    x = 58,410.68

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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.