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Finding the Fourth Proportional to 108,596.93, 149,774.91 and 76,438.01

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Solution

The fourth proportional to 108,596.93, 149,774.91 and 76,438.01 is: 105,421.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,596.93 : 149,774.91 = 76,438.01 : x
  2. Step 2: Convert to fraction form
    108,596.93/149,774.91 = 76,438.01/x
  3. Step 3: Cross multiply
    108,596.93x = 149,774.91 × 76,438.01
  4. Step 4: Simplify right side
    108,596.93x = 11,448,496,068.33
  5. Step 5: Solve for x
    x = 11,448,496,068.33/108,596.93
  6. Step 6: Final answer
    x = 105,421.91

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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.