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Finding the Fourth Proportional to 100,341.25, 138,492.53 and 60,064

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Solution

The fourth proportional to 100,341.25, 138,492.53 and 60,064 is: 82,901.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,341.25 : 138,492.53 = 60,064 : x
  2. Step 2: Convert to fraction form
    100,341.25/138,492.53 = 60,064/x
  3. Step 3: Cross multiply
    100,341.25x = 138,492.53 × 60,064
  4. Step 4: Simplify right side
    100,341.25x = 8,318,415,321.92
  5. Step 5: Solve for x
    x = 8,318,415,321.92/100,341.25
  6. Step 6: Final answer
    x = 82,901.25

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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.