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Finding the Fourth Proportional to 92,457.66, 138,702.69 and 39,869.22

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Solution

The fourth proportional to 92,457.66, 138,702.69 and 39,869.22 is: 59,810.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,457.66 : 138,702.69 = 39,869.22 : x
  2. Step 2: Convert to fraction form
    92,457.66/138,702.69 = 39,869.22/x
  3. Step 3: Cross multiply
    92,457.66x = 138,702.69 × 39,869.22
  4. Step 4: Simplify right side
    92,457.66x = 5,529,968,062.20
  5. Step 5: Solve for x
    x = 5,529,968,062.20/92,457.66
  6. Step 6: Final answer
    x = 59,810.82

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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.