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Finding the Fourth Proportional to 105,214, 145,195.32 and 60,502

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Solution

The fourth proportional to 105,214, 145,195.32 and 60,502 is: 83,492.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,214 : 145,195.32 = 60,502 : x
  2. Step 2: Convert to fraction form
    105,214/145,195.32 = 60,502/x
  3. Step 3: Cross multiply
    105,214x = 145,195.32 × 60,502
  4. Step 4: Simplify right side
    105,214x = 8,784,607,250.64
  5. Step 5: Solve for x
    x = 8,784,607,250.64/105,214
  6. Step 6: Final answer
    x = 83,492.76

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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.