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Finding the Fourth Proportional to 102,409.76, 153,516 and 52,513.28

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Solution

The fourth proportional to 102,409.76, 153,516 and 52,513.28 is: 78,719.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,409.76 : 153,516 = 52,513.28 : x
  2. Step 2: Convert to fraction form
    102,409.76/153,516 = 52,513.28/x
  3. Step 3: Cross multiply
    102,409.76x = 153,516 × 52,513.28
  4. Step 4: Simplify right side
    102,409.76x = 8,061,628,692.48
  5. Step 5: Solve for x
    x = 8,061,628,692.48/102,409.76
  6. Step 6: Final answer
    x = 78,719.34

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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.