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Finding the Fourth Proportional to 83,477.79, 115,211.16 and 51,656.94

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Solution

The fourth proportional to 83,477.79, 115,211.16 and 51,656.94 is: 71,293.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,477.79 : 115,211.16 = 51,656.94 : x
  2. Step 2: Convert to fraction form
    83,477.79/115,211.16 = 51,656.94/x
  3. Step 3: Cross multiply
    83,477.79x = 115,211.16 × 51,656.94
  4. Step 4: Simplify right side
    83,477.79x = 5,951,455,979.45
  5. Step 5: Solve for x
    x = 5,951,455,979.45/83,477.79
  6. Step 6: Final answer
    x = 71,293.89

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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.