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Finding the Fourth Proportional to 180,064.71, 270,266.58 and 91,381.86

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Solution

The fourth proportional to 180,064.71, 270,266.58 and 91,381.86 is: 137,158.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,064.71 : 270,266.58 = 91,381.86 : x
  2. Step 2: Convert to fraction form
    180,064.71/270,266.58 = 91,381.86/x
  3. Step 3: Cross multiply
    180,064.71x = 270,266.58 × 91,381.86
  4. Step 4: Simplify right side
    180,064.71x = 24,697,461,424.91
  5. Step 5: Solve for x
    x = 24,697,461,424.91/180,064.71
  6. Step 6: Final answer
    x = 137,158.81

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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.