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Finding the Fourth Proportional to 61,505.76, 84,875.94 and 38,856.81

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Solution

The fourth proportional to 61,505.76, 84,875.94 and 38,856.81 is: 53,621.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,505.76 : 84,875.94 = 38,856.81 : x
  2. Step 2: Convert to fraction form
    61,505.76/84,875.94 = 38,856.81/x
  3. Step 3: Cross multiply
    61,505.76x = 84,875.94 × 38,856.81
  4. Step 4: Simplify right side
    61,505.76x = 3,298,008,274.15
  5. Step 5: Solve for x
    x = 3,298,008,274.15/61,505.76
  6. Step 6: Final answer
    x = 53,621.13

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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.