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Finding the Fourth Proportional to 102,506.71, 141,465.81 and 57,191.53

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Solution

The fourth proportional to 102,506.71, 141,465.81 and 57,191.53 is: 78,927.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,506.71 : 141,465.81 = 57,191.53 : x
  2. Step 2: Convert to fraction form
    102,506.71/141,465.81 = 57,191.53/x
  3. Step 3: Cross multiply
    102,506.71x = 141,465.81 × 57,191.53
  4. Step 4: Simplify right side
    102,506.71x = 8,090,646,116.59
  5. Step 5: Solve for x
    x = 8,090,646,116.59/102,506.71
  6. Step 6: Final answer
    x = 78,927.97

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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.