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Finding the Fourth Proportional to 101,285.76, 151,915.32 and 31,159.20

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Solution

The fourth proportional to 101,285.76, 151,915.32 and 31,159.20 is: 46,734.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,285.76 : 151,915.32 = 31,159.20 : x
  2. Step 2: Convert to fraction form
    101,285.76/151,915.32 = 31,159.20/x
  3. Step 3: Cross multiply
    101,285.76x = 151,915.32 × 31,159.20
  4. Step 4: Simplify right side
    101,285.76x = 4,733,559,838.94
  5. Step 5: Solve for x
    x = 4,733,559,838.94/101,285.76
  6. Step 6: Final answer
    x = 46,734.70

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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.