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Finding the Fourth Proportional to 98,415.92, 147,624.59 and 42,208.61

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Solution

The fourth proportional to 98,415.92, 147,624.59 and 42,208.61 is: 63,313.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,415.92 : 147,624.59 = 42,208.61 : x
  2. Step 2: Convert to fraction form
    98,415.92/147,624.59 = 42,208.61/x
  3. Step 3: Cross multiply
    98,415.92x = 147,624.59 × 42,208.61
  4. Step 4: Simplify right side
    98,415.92x = 6,231,028,113.12
  5. Step 5: Solve for x
    x = 6,231,028,113.12/98,415.92
  6. Step 6: Final answer
    x = 63,313.21

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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.