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Finding the Fourth Proportional to 56,497.80, 77,964.34 and 31,003.54

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Solution

The fourth proportional to 56,497.80, 77,964.34 and 31,003.54 is: 42,783.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,497.80 : 77,964.34 = 31,003.54 : x
  2. Step 2: Convert to fraction form
    56,497.80/77,964.34 = 31,003.54/x
  3. Step 3: Cross multiply
    56,497.80x = 77,964.34 × 31,003.54
  4. Step 4: Simplify right side
    56,497.80x = 2,417,170,533.76
  5. Step 5: Solve for x
    x = 2,417,170,533.76/56,497.80
  6. Step 6: Final answer
    x = 42,783.45

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1.5x scale

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.