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Finding the Fourth Proportional to 56,504.50, 77,976.14 and 31,011.02

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Solution

The fourth proportional to 56,504.50, 77,976.14 and 31,011.02 is: 42,795.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,504.50 : 77,976.14 = 31,011.02 : x
  2. Step 2: Convert to fraction form
    56,504.50/77,976.14 = 31,011.02/x
  3. Step 3: Cross multiply
    56,504.50x = 77,976.14 × 31,011.02
  4. Step 4: Simplify right side
    56,504.50x = 2,418,119,637.06
  5. Step 5: Solve for x
    x = 2,418,119,637.06/56,504.50
  6. Step 6: Final answer
    x = 42,795.17

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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.