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Finding the Fourth Proportional to 102,365.57, 153,454.80 and 86,671.72

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Solution

The fourth proportional to 102,365.57, 153,454.80 and 86,671.72 is: 129,928.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,365.57 : 153,454.80 = 86,671.72 : x
  2. Step 2: Convert to fraction form
    102,365.57/153,454.80 = 86,671.72/x
  3. Step 3: Cross multiply
    102,365.57x = 153,454.80 × 86,671.72
  4. Step 4: Simplify right side
    102,365.57x = 13,300,191,975.09
  5. Step 5: Solve for x
    x = 13,300,191,975.09/102,365.57
  6. Step 6: Final answer
    x = 129,928.37

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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.