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Finding the Fourth Proportional to 77,062.69, 115,617.34 and 54,616.78

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Solution

The fourth proportional to 77,062.69, 115,617.34 and 54,616.78 is: 81,941.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,062.69 : 115,617.34 = 54,616.78 : x
  2. Step 2: Convert to fraction form
    77,062.69/115,617.34 = 54,616.78/x
  3. Step 3: Cross multiply
    77,062.69x = 115,617.34 × 54,616.78
  4. Step 4: Simplify right side
    77,062.69x = 6,314,646,602.19
  5. Step 5: Solve for x
    x = 6,314,646,602.19/77,062.69
  6. Step 6: Final answer
    x = 81,941.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.