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Finding the Fourth Proportional to 56,409.92, 77,848.80 and 31,258.88

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Solution

The fourth proportional to 56,409.92, 77,848.80 and 31,258.88 is: 43,138.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,409.92 : 77,848.80 = 31,258.88 : x
  2. Step 2: Convert to fraction form
    56,409.92/77,848.80 = 31,258.88/x
  3. Step 3: Cross multiply
    56,409.92x = 77,848.80 × 31,258.88
  4. Step 4: Simplify right side
    56,409.92x = 2,433,466,297.34
  5. Step 5: Solve for x
    x = 2,433,466,297.34/56,409.92
  6. Step 6: Final answer
    x = 43,138.98

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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.