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Finding the Fourth Proportional to 61,384.92, 91,959.12 and 51,405.72

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Solution

The fourth proportional to 61,384.92, 91,959.12 and 51,405.72 is: 77,009.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,384.92 : 91,959.12 = 51,405.72 : x
  2. Step 2: Convert to fraction form
    61,384.92/91,959.12 = 51,405.72/x
  3. Step 3: Cross multiply
    61,384.92x = 91,959.12 × 51,405.72
  4. Step 4: Simplify right side
    61,384.92x = 4,727,224,774.17
  5. Step 5: Solve for x
    x = 4,727,224,774.17/61,384.92
  6. Step 6: Final answer
    x = 77,009.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.