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Finding the Fourth Proportional to 117,672, 162,275.60 and 77,419.92

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Solution

The fourth proportional to 117,672, 162,275.60 and 77,419.92 is: 106,765.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,672 : 162,275.60 = 77,419.92 : x
  2. Step 2: Convert to fraction form
    117,672/162,275.60 = 77,419.92/x
  3. Step 3: Cross multiply
    117,672x = 162,275.60 × 77,419.92
  4. Step 4: Simplify right side
    117,672x = 12,563,363,969.95
  5. Step 5: Solve for x
    x = 12,563,363,969.95/117,672
  6. Step 6: Final answer
    x = 106,765.96

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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.