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Finding the Fourth Proportional to 71,678.85, 98,919.37 and 39,415.93

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Solution

The fourth proportional to 71,678.85, 98,919.37 and 39,415.93 is: 54,395.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,678.85 : 98,919.37 = 39,415.93 : x
  2. Step 2: Convert to fraction form
    71,678.85/98,919.37 = 39,415.93/x
  3. Step 3: Cross multiply
    71,678.85x = 98,919.37 × 39,415.93
  4. Step 4: Simplify right side
    71,678.85x = 3,898,998,271.89
  5. Step 5: Solve for x
    x = 3,898,998,271.89/71,678.85
  6. Step 6: Final answer
    x = 54,395.38

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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.