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Finding the Fourth Proportional to 153,979.30, 230,936.55 and 65,235.70

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Solution

The fourth proportional to 153,979.30, 230,936.55 and 65,235.70 is: 97,839.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,979.30 : 230,936.55 = 65,235.70 : x
  2. Step 2: Convert to fraction form
    153,979.30/230,936.55 = 65,235.70/x
  3. Step 3: Cross multiply
    153,979.30x = 230,936.55 × 65,235.70
  4. Step 4: Simplify right side
    153,979.30x = 15,065,307,494.84
  5. Step 5: Solve for x
    x = 15,065,307,494.84/153,979.30
  6. Step 6: Final answer
    x = 97,839.82

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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.