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Finding the Fourth Proportional to 82,465.76, 113,751.60 and 72,386.24

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Solution

The fourth proportional to 82,465.76, 113,751.60 and 72,386.24 is: 99,848.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,465.76 : 113,751.60 = 72,386.24 : x
  2. Step 2: Convert to fraction form
    82,465.76/113,751.60 = 72,386.24/x
  3. Step 3: Cross multiply
    82,465.76x = 113,751.60 × 72,386.24
  4. Step 4: Simplify right side
    82,465.76x = 8,234,050,617.98
  5. Step 5: Solve for x
    x = 8,234,050,617.98/82,465.76
  6. Step 6: Final answer
    x = 99,848.11

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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.