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Finding the Fourth Proportional to 105,614.61, 145,745.89 and 57,866.93

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Solution

The fourth proportional to 105,614.61, 145,745.89 and 57,866.93 is: 79,855.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,614.61 : 145,745.89 = 57,866.93 : x
  2. Step 2: Convert to fraction form
    105,614.61/145,745.89 = 57,866.93/x
  3. Step 3: Cross multiply
    105,614.61x = 145,745.89 × 57,866.93
  4. Step 4: Simplify right side
    105,614.61x = 8,433,867,214.42
  5. Step 5: Solve for x
    x = 8,433,867,214.42/105,614.61
  6. Step 6: Final answer
    x = 79,855.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.