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Finding the Fourth Proportional to 121,929.20, 182,807.40 and 47,020.40

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Solution

The fourth proportional to 121,929.20, 182,807.40 and 47,020.40 is: 70,497.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,929.20 : 182,807.40 = 47,020.40 : x
  2. Step 2: Convert to fraction form
    121,929.20/182,807.40 = 47,020.40/x
  3. Step 3: Cross multiply
    121,929.20x = 182,807.40 × 47,020.40
  4. Step 4: Simplify right side
    121,929.20x = 8,595,677,070.96
  5. Step 5: Solve for x
    x = 8,595,677,070.96/121,929.20
  6. Step 6: Final answer
    x = 70,497.28

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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.