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Finding the Fourth Proportional to 145,151.84, 217,741.46 and 56,412.15

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Solution

The fourth proportional to 145,151.84, 217,741.46 and 56,412.15 is: 84,623.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,151.84 : 217,741.46 = 56,412.15 : x
  2. Step 2: Convert to fraction form
    145,151.84/217,741.46 = 56,412.15/x
  3. Step 3: Cross multiply
    145,151.84x = 217,741.46 × 56,412.15
  4. Step 4: Simplify right side
    145,151.84x = 12,283,263,620.68
  5. Step 5: Solve for x
    x = 12,283,263,620.68/145,151.84
  6. Step 6: Final answer
    x = 84,623.55

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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.