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Finding the Fourth Proportional to 102,563.60, 153,845.40 and 86,817.20

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Solution

The fourth proportional to 102,563.60, 153,845.40 and 86,817.20 is: 130,225.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,563.60 : 153,845.40 = 86,817.20 : x
  2. Step 2: Convert to fraction form
    102,563.60/153,845.40 = 86,817.20/x
  3. Step 3: Cross multiply
    102,563.60x = 153,845.40 × 86,817.20
  4. Step 4: Simplify right side
    102,563.60x = 13,356,426,860.88
  5. Step 5: Solve for x
    x = 13,356,426,860.88/102,563.60
  6. Step 6: Final answer
    x = 130,225.80

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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.