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Finding the Fourth Proportional to 105,492.49, 145,581.24 and 57,750.28

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Solution

The fourth proportional to 105,492.49, 145,581.24 and 57,750.28 is: 79,696.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,492.49 : 145,581.24 = 57,750.28 : x
  2. Step 2: Convert to fraction form
    105,492.49/145,581.24 = 57,750.28/x
  3. Step 3: Cross multiply
    105,492.49x = 145,581.24 × 57,750.28
  4. Step 4: Simplify right side
    105,492.49x = 8,407,357,372.75
  5. Step 5: Solve for x
    x = 8,407,357,372.75/105,492.49
  6. Step 6: Final answer
    x = 79,696.26

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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.