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Finding the Fourth Proportional to 85,686.83, 128,494.77 and 32,369.72

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Solution

The fourth proportional to 85,686.83, 128,494.77 and 32,369.72 is: 48,541.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,686.83 : 128,494.77 = 32,369.72 : x
  2. Step 2: Convert to fraction form
    85,686.83/128,494.77 = 32,369.72/x
  3. Step 3: Cross multiply
    85,686.83x = 128,494.77 × 32,369.72
  4. Step 4: Simplify right side
    85,686.83x = 4,159,339,726.36
  5. Step 5: Solve for x
    x = 4,159,339,726.36/85,686.83
  6. Step 6: Final answer
    x = 48,541.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.