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Finding the Fourth Proportional to 93,077.50, 128,437.22 and 52,778.38

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Solution

The fourth proportional to 93,077.50, 128,437.22 and 52,778.38 is: 72,828.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,077.50 : 128,437.22 = 52,778.38 : x
  2. Step 2: Convert to fraction form
    93,077.50/128,437.22 = 52,778.38/x
  3. Step 3: Cross multiply
    93,077.50x = 128,437.22 × 52,778.38
  4. Step 4: Simplify right side
    93,077.50x = 6,778,708,403.30
  5. Step 5: Solve for x
    x = 6,778,708,403.30/93,077.50
  6. Step 6: Final answer
    x = 72,828.65

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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.