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Finding the Fourth Proportional to 105,045.60, 144,957.60 and 57,298.56

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Solution

The fourth proportional to 105,045.60, 144,957.60 and 57,298.56 is: 79,069.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,045.60 : 144,957.60 = 57,298.56 : x
  2. Step 2: Convert to fraction form
    105,045.60/144,957.60 = 57,298.56/x
  3. Step 3: Cross multiply
    105,045.60x = 144,957.60 × 57,298.56
  4. Step 4: Simplify right side
    105,045.60x = 8,305,861,741.06
  5. Step 5: Solve for x
    x = 8,305,861,741.06/105,045.60
  6. Step 6: Final answer
    x = 79,069.11

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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.