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Finding the Fourth Proportional to 102,610.80, 153,638.16 and 53,259.12

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Solution

The fourth proportional to 102,610.80, 153,638.16 and 53,259.12 is: 79,744.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,610.80 : 153,638.16 = 53,259.12 : x
  2. Step 2: Convert to fraction form
    102,610.80/153,638.16 = 53,259.12/x
  3. Step 3: Cross multiply
    102,610.80x = 153,638.16 × 53,259.12
  4. Step 4: Simplify right side
    102,610.80x = 8,182,633,200.02
  5. Step 5: Solve for x
    x = 8,182,633,200.02/102,610.80
  6. Step 6: Final answer
    x = 79,744.37

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1.5x scale

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.