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Finding the Fourth Proportional to 105,728.54, 145,904.02 and 60,406.17

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Solution

The fourth proportional to 105,728.54, 145,904.02 and 60,406.17 is: 83,359.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,728.54 : 145,904.02 = 60,406.17 : x
  2. Step 2: Convert to fraction form
    105,728.54/145,904.02 = 60,406.17/x
  3. Step 3: Cross multiply
    105,728.54x = 145,904.02 × 60,406.17
  4. Step 4: Simplify right side
    105,728.54x = 8,813,502,337.65
  5. Step 5: Solve for x
    x = 8,813,502,337.65/105,728.54
  6. Step 6: Final answer
    x = 83,359.73

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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.