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Finding the Fourth Proportional to 77,206, 106,547.16 and 43,671.28

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Solution

The fourth proportional to 77,206, 106,547.16 and 43,671.28 is: 60,268.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,206 : 106,547.16 = 43,671.28 : x
  2. Step 2: Convert to fraction form
    77,206/106,547.16 = 43,671.28/x
  3. Step 3: Cross multiply
    77,206x = 106,547.16 × 43,671.28
  4. Step 4: Simplify right side
    77,206x = 4,653,050,857.56
  5. Step 5: Solve for x
    x = 4,653,050,857.56/77,206
  6. Step 6: Final answer
    x = 60,268.00

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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.