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Finding the Fourth Proportional to 77,438, 106,847.96 and 45,595.28

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Solution

The fourth proportional to 77,438, 106,847.96 and 45,595.28 is: 62,911.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,438 : 106,847.96 = 45,595.28 : x
  2. Step 2: Convert to fraction form
    77,438/106,847.96 = 45,595.28/x
  3. Step 3: Cross multiply
    77,438x = 106,847.96 × 45,595.28
  4. Step 4: Simplify right side
    77,438x = 4,871,762,653.63
  5. Step 5: Solve for x
    x = 4,871,762,653.63/77,438
  6. Step 6: Final answer
    x = 62,911.78

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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.