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Finding the Fourth Proportional to 77,073.98, 106,369.74 and 45,242.19

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Solution

The fourth proportional to 77,073.98, 106,369.74 and 45,242.19 is: 62,438.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,073.98 : 106,369.74 = 45,242.19 : x
  2. Step 2: Convert to fraction form
    77,073.98/106,369.74 = 45,242.19/x
  3. Step 3: Cross multiply
    77,073.98x = 106,369.74 × 45,242.19
  4. Step 4: Simplify right side
    77,073.98x = 4,812,399,987.33
  5. Step 5: Solve for x
    x = 4,812,399,987.33/77,073.98
  6. Step 6: Final answer
    x = 62,438.72

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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.