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Finding the Fourth Proportional to 101,521.47, 152,296.80 and 31,406.25

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Solution

The fourth proportional to 101,521.47, 152,296.80 and 31,406.25 is: 47,113.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,521.47 : 152,296.80 = 31,406.25 : x
  2. Step 2: Convert to fraction form
    101,521.47/152,296.80 = 31,406.25/x
  3. Step 3: Cross multiply
    101,521.47x = 152,296.80 × 31,406.25
  4. Step 4: Simplify right side
    101,521.47x = 4,783,071,375
  5. Step 5: Solve for x
    x = 4,783,071,375/101,521.47
  6. Step 6: Final answer
    x = 47,113.89

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1.5x scale

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.