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Finding the Fourth Proportional to 83,615.74, 115,388.76 and 47,316.76

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Solution

The fourth proportional to 83,615.74, 115,388.76 and 47,316.76 is: 65,296.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,615.74 : 115,388.76 = 47,316.76 : x
  2. Step 2: Convert to fraction form
    83,615.74/115,388.76 = 47,316.76/x
  3. Step 3: Cross multiply
    83,615.74x = 115,388.76 × 47,316.76
  4. Step 4: Simplify right side
    83,615.74x = 5,459,822,263.62
  5. Step 5: Solve for x
    x = 5,459,822,263.62/83,615.74
  6. Step 6: Final answer
    x = 65,296.58

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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.