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Finding the Fourth Proportional to 78,377.81, 108,098.83 and 51,547.87

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Solution

The fourth proportional to 78,377.81, 108,098.83 and 51,547.87 is: 71,094.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,377.81 : 108,098.83 = 51,547.87 : x
  2. Step 2: Convert to fraction form
    78,377.81/108,098.83 = 51,547.87/x
  3. Step 3: Cross multiply
    78,377.81x = 108,098.83 × 51,547.87
  4. Step 4: Simplify right side
    78,377.81x = 5,572,264,435.99
  5. Step 5: Solve for x
    x = 5,572,264,435.99/78,377.81
  6. Step 6: Final answer
    x = 71,094.92

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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.