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Finding the Fourth Proportional to 101,798.72, 152,712.64 and 31,685.12

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Solution

The fourth proportional to 101,798.72, 152,712.64 and 31,685.12 is: 47,532.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,798.72 : 152,712.64 = 31,685.12 : x
  2. Step 2: Convert to fraction form
    101,798.72/152,712.64 = 31,685.12/x
  3. Step 3: Cross multiply
    101,798.72x = 152,712.64 × 31,685.12
  4. Step 4: Simplify right side
    101,798.72x = 4,838,718,323.92
  5. Step 5: Solve for x
    x = 4,838,718,323.92/101,798.72
  6. Step 6: Final answer
    x = 47,532.21

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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.