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Finding the Fourth Proportional to 102,686.59, 153,679.42 and 86,065.39

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Solution

The fourth proportional to 102,686.59, 153,679.42 and 86,065.39 is: 128,804.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,686.59 : 153,679.42 = 86,065.39 : x
  2. Step 2: Convert to fraction form
    102,686.59/153,679.42 = 86,065.39/x
  3. Step 3: Cross multiply
    102,686.59x = 153,679.42 × 86,065.39
  4. Step 4: Simplify right side
    102,686.59x = 13,226,479,217.27
  5. Step 5: Solve for x
    x = 13,226,479,217.27/102,686.59
  6. Step 6: Final answer
    x = 128,804.35

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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.