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Finding the Fourth Proportional to 70,572, 105,885.60 and 31,101.36

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Solution

The fourth proportional to 70,572, 105,885.60 and 31,101.36 is: 46,664.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,572 : 105,885.60 = 31,101.36 : x
  2. Step 2: Convert to fraction form
    70,572/105,885.60 = 31,101.36/x
  3. Step 3: Cross multiply
    70,572x = 105,885.60 × 31,101.36
  4. Step 4: Simplify right side
    70,572x = 3,293,186,164.42
  5. Step 5: Solve for x
    x = 3,293,186,164.42/70,572
  6. Step 6: Final answer
    x = 46,664.20

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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.