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Finding the Fourth Proportional to 56,488.53, 77,954.95 and 30,994.45

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Solution

The fourth proportional to 56,488.53, 77,954.95 and 30,994.45 is: 42,772.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,488.53 : 77,954.95 = 30,994.45 : x
  2. Step 2: Convert to fraction form
    56,488.53/77,954.95 = 30,994.45/x
  3. Step 3: Cross multiply
    56,488.53x = 77,954.95 × 30,994.45
  4. Step 4: Simplify right side
    56,488.53x = 2,416,170,800.03
  5. Step 5: Solve for x
    x = 2,416,170,800.03/56,488.53
  6. Step 6: Final answer
    x = 42,772.77

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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.