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Finding the Fourth Proportional to 77,058, 106,340.16 and 41,730

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Solution

The fourth proportional to 77,058, 106,340.16 and 41,730 is: 57,587.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,058 : 106,340.16 = 41,730 : x
  2. Step 2: Convert to fraction form
    77,058/106,340.16 = 41,730/x
  3. Step 3: Cross multiply
    77,058x = 106,340.16 × 41,730
  4. Step 4: Simplify right side
    77,058x = 4,437,574,876.80
  5. Step 5: Solve for x
    x = 4,437,574,876.80/77,058
  6. Step 6: Final answer
    x = 57,587.46

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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.