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Finding the Fourth Proportional to 70,937.28, 106,368.48 and 31,477.20

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Solution

The fourth proportional to 70,937.28, 106,368.48 and 31,477.20 is: 47,199.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,937.28 : 106,368.48 = 31,477.20 : x
  2. Step 2: Convert to fraction form
    70,937.28/106,368.48 = 31,477.20/x
  3. Step 3: Cross multiply
    70,937.28x = 106,368.48 × 31,477.20
  4. Step 4: Simplify right side
    70,937.28x = 3,348,181,918.66
  5. Step 5: Solve for x
    x = 3,348,181,918.66/70,937.28
  6. Step 6: Final answer
    x = 47,199.19

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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.