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Finding the Fourth Proportional to 55,809.92, 77,020.80 and 31,931.12

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Solution

The fourth proportional to 55,809.92, 77,020.80 and 31,931.12 is: 44,066.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,809.92 : 77,020.80 = 31,931.12 : x
  2. Step 2: Convert to fraction form
    55,809.92/77,020.80 = 31,931.12/x
  3. Step 3: Cross multiply
    55,809.92x = 77,020.80 × 31,931.12
  4. Step 4: Simplify right side
    55,809.92x = 2,459,360,407.30
  5. Step 5: Solve for x
    x = 2,459,360,407.30/55,809.92
  6. Step 6: Final answer
    x = 44,066.73

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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.