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Finding the Fourth Proportional to 117,325.86, 161,823.66 and 77,024.92

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Solution

The fourth proportional to 117,325.86, 161,823.66 and 77,024.92 is: 106,237.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,325.86 : 161,823.66 = 77,024.92 : x
  2. Step 2: Convert to fraction form
    117,325.86/161,823.66 = 77,024.92/x
  3. Step 3: Cross multiply
    117,325.86x = 161,823.66 × 77,024.92
  4. Step 4: Simplify right side
    117,325.86x = 12,464,454,465.61
  5. Step 5: Solve for x
    x = 12,464,454,465.61/117,325.86
  6. Step 6: Final answer
    x = 106,237.91

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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.