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Finding the Fourth Proportional to 105,057.20, 144,980.88 and 57,312.20

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Solution

The fourth proportional to 105,057.20, 144,980.88 and 57,312.20 is: 79,091.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,057.20 : 144,980.88 = 57,312.20 : x
  2. Step 2: Convert to fraction form
    105,057.20/144,980.88 = 57,312.20/x
  3. Step 3: Cross multiply
    105,057.20x = 144,980.88 × 57,312.20
  4. Step 4: Simplify right side
    105,057.20x = 8,309,173,190.74
  5. Step 5: Solve for x
    x = 8,309,173,190.74/105,057.20
  6. Step 6: Final answer
    x = 79,091.90

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1.5x scale

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.