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Finding the Fourth Proportional to 97,809.20, 146,519.40 and 53,356.40

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Solution

The fourth proportional to 97,809.20, 146,519.40 and 53,356.40 is: 79,928.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,809.20 : 146,519.40 = 53,356.40 : x
  2. Step 2: Convert to fraction form
    97,809.20/146,519.40 = 53,356.40/x
  3. Step 3: Cross multiply
    97,809.20x = 146,519.40 × 53,356.40
  4. Step 4: Simplify right side
    97,809.20x = 7,817,747,714.16
  5. Step 5: Solve for x
    x = 7,817,747,714.16/97,809.20
  6. Step 6: Final answer
    x = 79,928.55

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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.