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Finding the Fourth Proportional to 107,491.78, 161,302.47 and 37,420.30

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Solution

The fourth proportional to 107,491.78, 161,302.47 and 37,420.30 is: 56,153.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,491.78 : 161,302.47 = 37,420.30 : x
  2. Step 2: Convert to fraction form
    107,491.78/161,302.47 = 37,420.30/x
  3. Step 3: Cross multiply
    107,491.78x = 161,302.47 × 37,420.30
  4. Step 4: Simplify right side
    107,491.78x = 6,035,986,818.14
  5. Step 5: Solve for x
    x = 6,035,986,818.14/107,491.78
  6. Step 6: Final answer
    x = 56,153.01

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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.