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Finding the Fourth Proportional to 52,315, 72,178.74 and 29,650.36

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Solution

The fourth proportional to 52,315, 72,178.74 and 29,650.36 is: 40,908.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,315 : 72,178.74 = 29,650.36 : x
  2. Step 2: Convert to fraction form
    52,315/72,178.74 = 29,650.36/x
  3. Step 3: Cross multiply
    52,315x = 72,178.74 × 29,650.36
  4. Step 4: Simplify right side
    52,315x = 2,140,125,625.35
  5. Step 5: Solve for x
    x = 2,140,125,625.35/52,315
  6. Step 6: Final answer
    x = 40,908.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.