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Finding the Fourth Proportional to 161,497.28, 242,278.32 and 56,288

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Solution

The fourth proportional to 161,497.28, 242,278.32 and 56,288 is: 84,443.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,497.28 : 242,278.32 = 56,288 : x
  2. Step 2: Convert to fraction form
    161,497.28/242,278.32 = 56,288/x
  3. Step 3: Cross multiply
    161,497.28x = 242,278.32 × 56,288
  4. Step 4: Simplify right side
    161,497.28x = 13,637,362,076.16
  5. Step 5: Solve for x
    x = 13,637,362,076.16/161,497.28
  6. Step 6: Final answer
    x = 84,443.29

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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.