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Finding the Fourth Proportional to 153,855.72, 230,697.01 and 105,880.69

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Solution

The fourth proportional to 153,855.72, 230,697.01 and 105,880.69 is: 158,761.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,855.72 : 230,697.01 = 105,880.69 : x
  2. Step 2: Convert to fraction form
    153,855.72/230,697.01 = 105,880.69/x
  3. Step 3: Cross multiply
    153,855.72x = 230,697.01 × 105,880.69
  4. Step 4: Simplify right side
    153,855.72x = 24,426,357,722.79
  5. Step 5: Solve for x
    x = 24,426,357,722.79/153,855.72
  6. Step 6: Final answer
    x = 158,761.45

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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.