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Finding the Fourth Proportional to 161,710.40, 242,565.60 and 105,723.20

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Solution

The fourth proportional to 161,710.40, 242,565.60 and 105,723.20 is: 158,584.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,710.40 : 242,565.60 = 105,723.20 : x
  2. Step 2: Convert to fraction form
    161,710.40/242,565.60 = 105,723.20/x
  3. Step 3: Cross multiply
    161,710.40x = 242,565.60 × 105,723.20
  4. Step 4: Simplify right side
    161,710.40x = 25,644,811,441.92
  5. Step 5: Solve for x
    x = 25,644,811,441.92/161,710.40
  6. Step 6: Final answer
    x = 158,584.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.