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Finding the Fourth Proportional to 52,878.50, 72,975.21 and 30,529.70

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Solution

The fourth proportional to 52,878.50, 72,975.21 and 30,529.70 is: 42,132.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,878.50 : 72,975.21 = 30,529.70 : x
  2. Step 2: Convert to fraction form
    52,878.50/72,975.21 = 30,529.70/x
  3. Step 3: Cross multiply
    52,878.50x = 72,975.21 × 30,529.70
  4. Step 4: Simplify right side
    52,878.50x = 2,227,911,268.74
  5. Step 5: Solve for x
    x = 2,227,911,268.74/52,878.50
  6. Step 6: Final answer
    x = 42,132.65

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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.