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Finding the Fourth Proportional to 55,842.38, 77,128.29 and 36,946.70

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Solution

The fourth proportional to 55,842.38, 77,128.29 and 36,946.70 is: 51,029.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,842.38 : 77,128.29 = 36,946.70 : x
  2. Step 2: Convert to fraction form
    55,842.38/77,128.29 = 36,946.70/x
  3. Step 3: Cross multiply
    55,842.38x = 77,128.29 × 36,946.70
  4. Step 4: Simplify right side
    55,842.38x = 2,849,635,406.50
  5. Step 5: Solve for x
    x = 2,849,635,406.50/55,842.38
  6. Step 6: Final answer
    x = 51,029.98

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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.