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Finding the Fourth Proportional to 161,838.20, 242,830.20 and 77,565.80

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Solution

The fourth proportional to 161,838.20, 242,830.20 and 77,565.80 is: 116,383.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,838.20 : 242,830.20 = 77,565.80 : x
  2. Step 2: Convert to fraction form
    161,838.20/242,830.20 = 77,565.80/x
  3. Step 3: Cross multiply
    161,838.20x = 242,830.20 × 77,565.80
  4. Step 4: Simplify right side
    161,838.20x = 18,835,318,727.16
  5. Step 5: Solve for x
    x = 18,835,318,727.16/161,838.20
  6. Step 6: Final answer
    x = 116,383.64

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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.