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Finding the Fourth Proportional to 85,836.86, 118,455.13 and 47,599.10

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Solution

The fourth proportional to 85,836.86, 118,455.13 and 47,599.10 is: 65,686.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,836.86 : 118,455.13 = 47,599.10 : x
  2. Step 2: Convert to fraction form
    85,836.86/118,455.13 = 47,599.10/x
  3. Step 3: Cross multiply
    85,836.86x = 118,455.13 × 47,599.10
  4. Step 4: Simplify right side
    85,836.86x = 5,638,357,755.52
  5. Step 5: Solve for x
    x = 5,638,357,755.52/85,836.86
  6. Step 6: Final answer
    x = 65,686.90

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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.