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Finding the Fourth Proportional to 106,818, 147,406.40 and 59,071.76

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Solution

The fourth proportional to 106,818, 147,406.40 and 59,071.76 is: 81,517.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,818 : 147,406.40 = 59,071.76 : x
  2. Step 2: Convert to fraction form
    106,818/147,406.40 = 59,071.76/x
  3. Step 3: Cross multiply
    106,818x = 147,406.40 × 59,071.76
  4. Step 4: Simplify right side
    106,818x = 8,707,555,483.26
  5. Step 5: Solve for x
    x = 8,707,555,483.26/106,818
  6. Step 6: Final answer
    x = 81,517.68

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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.