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Finding the Fourth Proportional to 70,881.40, 97,819.68 and 40,256.74

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Solution

The fourth proportional to 70,881.40, 97,819.68 and 40,256.74 is: 55,556.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,881.40 : 97,819.68 = 40,256.74 : x
  2. Step 2: Convert to fraction form
    70,881.40/97,819.68 = 40,256.74/x
  3. Step 3: Cross multiply
    70,881.40x = 97,819.68 × 40,256.74
  4. Step 4: Simplify right side
    70,881.40x = 3,937,901,424.64
  5. Step 5: Solve for x
    x = 3,937,901,424.64/70,881.40
  6. Step 6: Final answer
    x = 55,556.20

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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.