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Finding the Fourth Proportional to 88,417.76, 122,025.82 and 77,415.10

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Solution

The fourth proportional to 88,417.76, 122,025.82 and 77,415.10 is: 106,840.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,417.76 : 122,025.82 = 77,415.10 : x
  2. Step 2: Convert to fraction form
    88,417.76/122,025.82 = 77,415.10/x
  3. Step 3: Cross multiply
    88,417.76x = 122,025.82 × 77,415.10
  4. Step 4: Simplify right side
    88,417.76x = 9,446,640,829.90
  5. Step 5: Solve for x
    x = 9,446,640,829.90/88,417.76
  6. Step 6: Final answer
    x = 106,840.99

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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.