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Finding the Fourth Proportional to 161,816.64, 242,717.40 and 56,659.20

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Solution

The fourth proportional to 161,816.64, 242,717.40 and 56,659.20 is: 84,986.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,816.64 : 242,717.40 = 56,659.20 : x
  2. Step 2: Convert to fraction form
    161,816.64/242,717.40 = 56,659.20/x
  3. Step 3: Cross multiply
    161,816.64x = 242,717.40 × 56,659.20
  4. Step 4: Simplify right side
    161,816.64x = 13,752,173,710.08
  5. Step 5: Solve for x
    x = 13,752,173,710.08/161,816.64
  6. Step 6: Final answer
    x = 84,986.15

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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.