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Finding the Fourth Proportional to 76,881.64, 106,096.78 and 42,425.57

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Solution

The fourth proportional to 76,881.64, 106,096.78 and 42,425.57 is: 58,547.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,881.64 : 106,096.78 = 42,425.57 : x
  2. Step 2: Convert to fraction form
    76,881.64/106,096.78 = 42,425.57/x
  3. Step 3: Cross multiply
    76,881.64x = 106,096.78 × 42,425.57
  4. Step 4: Simplify right side
    76,881.64x = 4,501,215,889.21
  5. Step 5: Solve for x
    x = 4,501,215,889.21/76,881.64
  6. Step 6: Final answer
    x = 58,547.35

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1.5x scale

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.