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Finding the Fourth Proportional to 145,199.94, 217,856.25 and 56,515.74

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Solution

The fourth proportional to 145,199.94, 217,856.25 and 56,515.74 is: 84,795.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,199.94 : 217,856.25 = 56,515.74 : x
  2. Step 2: Convert to fraction form
    145,199.94/217,856.25 = 56,515.74/x
  3. Step 3: Cross multiply
    145,199.94x = 217,856.25 × 56,515.74
  4. Step 4: Simplify right side
    145,199.94x = 12,312,307,182.38
  5. Step 5: Solve for x
    x = 12,312,307,182.38/145,199.94
  6. Step 6: Final answer
    x = 84,795.54

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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.