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Finding the Fourth Proportional to 52,606.80, 78,877.80 and 30,409.20

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Solution

The fourth proportional to 52,606.80, 78,877.80 and 30,409.20 is: 45,595.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,606.80 : 78,877.80 = 30,409.20 : x
  2. Step 2: Convert to fraction form
    52,606.80/78,877.80 = 30,409.20/x
  3. Step 3: Cross multiply
    52,606.80x = 78,877.80 × 30,409.20
  4. Step 4: Simplify right side
    52,606.80x = 2,398,610,795.76
  5. Step 5: Solve for x
    x = 2,398,610,795.76/52,606.80
  6. Step 6: Final answer
    x = 45,595.07

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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.