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Finding the Fourth Proportional to 55,868, 77,097.86 and 30,717.52

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Solution

The fourth proportional to 55,868, 77,097.86 and 30,717.52 is: 42,390.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,868 : 77,097.86 = 30,717.52 : x
  2. Step 2: Convert to fraction form
    55,868/77,097.86 = 30,717.52/x
  3. Step 3: Cross multiply
    55,868x = 77,097.86 × 30,717.52
  4. Step 4: Simplify right side
    55,868x = 2,368,255,056.51
  5. Step 5: Solve for x
    x = 2,368,255,056.51/55,868
  6. Step 6: Final answer
    x = 42,390.19

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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.