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Finding the Fourth Proportional to 52,780.88, 72,838.40 and 28,909.78

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Solution

The fourth proportional to 52,780.88, 72,838.40 and 28,909.78 is: 39,895.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,780.88 : 72,838.40 = 28,909.78 : x
  2. Step 2: Convert to fraction form
    52,780.88/72,838.40 = 28,909.78/x
  3. Step 3: Cross multiply
    52,780.88x = 72,838.40 × 28,909.78
  4. Step 4: Simplify right side
    52,780.88x = 2,105,742,119.55
  5. Step 5: Solve for x
    x = 2,105,742,119.55/52,780.88
  6. Step 6: Final answer
    x = 39,895.93

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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.