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Finding the Fourth Proportional to 242,802.40, 335,060.76 and 140,821.42

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Solution

The fourth proportional to 242,802.40, 335,060.76 and 140,821.42 is: 194,329.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,802.40 : 335,060.76 = 140,821.42 : x
  2. Step 2: Convert to fraction form
    242,802.40/335,060.76 = 140,821.42/x
  3. Step 3: Cross multiply
    242,802.40x = 335,060.76 × 140,821.42
  4. Step 4: Simplify right side
    242,802.40x = 47,183,732,009.48
  5. Step 5: Solve for x
    x = 47,183,732,009.48/242,802.40
  6. Step 6: Final answer
    x = 194,329.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.