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Finding the Fourth Proportional to 98,412.74, 147,642.54 and 31,852.87

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Solution

The fourth proportional to 98,412.74, 147,642.54 and 31,852.87 is: 47,786.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,412.74 : 147,642.54 = 31,852.87 : x
  2. Step 2: Convert to fraction form
    98,412.74/147,642.54 = 31,852.87/x
  3. Step 3: Cross multiply
    98,412.74x = 147,642.54 × 31,852.87
  4. Step 4: Simplify right side
    98,412.74x = 4,702,838,633.09
  5. Step 5: Solve for x
    x = 4,702,838,633.09/98,412.74
  6. Step 6: Final answer
    x = 47,786.89

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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.