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Finding the Fourth Proportional to 101,428.20, 152,127.90 and 31,314.60

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Solution

The fourth proportional to 101,428.20, 152,127.90 and 31,314.60 is: 46,967.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,428.20 : 152,127.90 = 31,314.60 : x
  2. Step 2: Convert to fraction form
    101,428.20/152,127.90 = 31,314.60/x
  3. Step 3: Cross multiply
    101,428.20x = 152,127.90 × 31,314.60
  4. Step 4: Simplify right side
    101,428.20x = 4,763,824,337.34
  5. Step 5: Solve for x
    x = 4,763,824,337.34/101,428.20
  6. Step 6: Final answer
    x = 46,967.45

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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.