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Finding the Fourth Proportional to 105,458.38, 145,532.16 and 57,060.16

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Solution

The fourth proportional to 105,458.38, 145,532.16 and 57,060.16 is: 78,742.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,458.38 : 145,532.16 = 57,060.16 : x
  2. Step 2: Convert to fraction form
    105,458.38/145,532.16 = 57,060.16/x
  3. Step 3: Cross multiply
    105,458.38x = 145,532.16 × 57,060.16
  4. Step 4: Simplify right side
    105,458.38x = 8,304,088,334.75
  5. Step 5: Solve for x
    x = 8,304,088,334.75/105,458.38
  6. Step 6: Final answer
    x = 78,742.80

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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.