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Finding the Fourth Proportional to 56,298, 77,660.52 and 36,157.98

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Solution

The fourth proportional to 56,298, 77,660.52 and 36,157.98 is: 49,878.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,298 : 77,660.52 = 36,157.98 : x
  2. Step 2: Convert to fraction form
    56,298/77,660.52 = 36,157.98/x
  3. Step 3: Cross multiply
    56,298x = 77,660.52 × 36,157.98
  4. Step 4: Simplify right side
    56,298x = 2,808,047,528.95
  5. Step 5: Solve for x
    x = 2,808,047,528.95/56,298
  6. Step 6: Final answer
    x = 49,878.28

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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.