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Finding the Fourth Proportional to 86,733.66, 130,011.86 and 49,214.47

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Solution

The fourth proportional to 86,733.66, 130,011.86 and 49,214.47 is: 73,771.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,733.66 : 130,011.86 = 49,214.47 : x
  2. Step 2: Convert to fraction form
    86,733.66/130,011.86 = 49,214.47/x
  3. Step 3: Cross multiply
    86,733.66x = 130,011.86 × 49,214.47
  4. Step 4: Simplify right side
    86,733.66x = 6,398,464,783.61
  5. Step 5: Solve for x
    x = 6,398,464,783.61/86,733.66
  6. Step 6: Final answer
    x = 73,771.41

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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.