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Finding the Fourth Proportional to 70,832.40, 106,199.40 and 31,368

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Solution

The fourth proportional to 70,832.40, 106,199.40 and 31,368 is: 47,030.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,832.40 : 106,199.40 = 31,368 : x
  2. Step 2: Convert to fraction form
    70,832.40/106,199.40 = 31,368/x
  3. Step 3: Cross multiply
    70,832.40x = 106,199.40 × 31,368
  4. Step 4: Simplify right side
    70,832.40x = 3,331,262,779.20
  5. Step 5: Solve for x
    x = 3,331,262,779.20/70,832.40
  6. Step 6: Final answer
    x = 47,030.21

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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.