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Finding the Fourth Proportional to 56,064.90, 77,369.18 and 30,914.40

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Solution

The fourth proportional to 56,064.90, 77,369.18 and 30,914.40 is: 42,661.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,064.90 : 77,369.18 = 30,914.40 : x
  2. Step 2: Convert to fraction form
    56,064.90/77,369.18 = 30,914.40/x
  3. Step 3: Cross multiply
    56,064.90x = 77,369.18 × 30,914.40
  4. Step 4: Simplify right side
    56,064.90x = 2,391,821,778.19
  5. Step 5: Solve for x
    x = 2,391,821,778.19/56,064.90
  6. Step 6: Final answer
    x = 42,661.66

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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.