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Finding the Fourth Proportional to 76,258.64, 105,242.76 and 47,988.56

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Solution

The fourth proportional to 76,258.64, 105,242.76 and 47,988.56 is: 66,227.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,258.64 : 105,242.76 = 47,988.56 : x
  2. Step 2: Convert to fraction form
    76,258.64/105,242.76 = 47,988.56/x
  3. Step 3: Cross multiply
    76,258.64x = 105,242.76 × 47,988.56
  4. Step 4: Simplify right side
    76,258.64x = 5,050,448,502.83
  5. Step 5: Solve for x
    x = 5,050,448,502.83/76,258.64
  6. Step 6: Final answer
    x = 66,227.89

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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.