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Finding the Fourth Proportional to 161,864.80, 242,602.80 and 82,938.40

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Solution

The fourth proportional to 161,864.80, 242,602.80 and 82,938.40 is: 124,307.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,864.80 : 242,602.80 = 82,938.40 : x
  2. Step 2: Convert to fraction form
    161,864.80/242,602.80 = 82,938.40/x
  3. Step 3: Cross multiply
    161,864.80x = 242,602.80 × 82,938.40
  4. Step 4: Simplify right side
    161,864.80x = 20,121,088,067.52
  5. Step 5: Solve for x
    x = 20,121,088,067.52/161,864.80
  6. Step 6: Final answer
    x = 124,307.99

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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.