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Finding the Fourth Proportional to 154,967.70, 232,451.40 and 42,648.56

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Solution

The fourth proportional to 154,967.70, 232,451.40 and 42,648.56 is: 63,972.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,967.70 : 232,451.40 = 42,648.56 : x
  2. Step 2: Convert to fraction form
    154,967.70/232,451.40 = 42,648.56/x
  3. Step 3: Cross multiply
    154,967.70x = 232,451.40 × 42,648.56
  4. Step 4: Simplify right side
    154,967.70x = 9,913,717,479.98
  5. Step 5: Solve for x
    x = 9,913,717,479.98/154,967.70
  6. Step 6: Final answer
    x = 63,972.80

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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.