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Finding the Fourth Proportional to 77,121, 106,427.16 and 43,587

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Solution

The fourth proportional to 77,121, 106,427.16 and 43,587 is: 60,150.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,121 : 106,427.16 = 43,587 : x
  2. Step 2: Convert to fraction form
    77,121/106,427.16 = 43,587/x
  3. Step 3: Cross multiply
    77,121x = 106,427.16 × 43,587
  4. Step 4: Simplify right side
    77,121x = 4,638,840,622.92
  5. Step 5: Solve for x
    x = 4,638,840,622.92/77,121
  6. Step 6: Final answer
    x = 60,150.16

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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.