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Finding the Fourth Proportional to 77,787.78, 116,683.50 and 30,400.76

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Solution

The fourth proportional to 77,787.78, 116,683.50 and 30,400.76 is: 45,601.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,787.78 : 116,683.50 = 30,400.76 : x
  2. Step 2: Convert to fraction form
    77,787.78/116,683.50 = 30,400.76/x
  3. Step 3: Cross multiply
    77,787.78x = 116,683.50 × 30,400.76
  4. Step 4: Simplify right side
    77,787.78x = 3,547,267,079.46
  5. Step 5: Solve for x
    x = 3,547,267,079.46/77,787.78
  6. Step 6: Final answer
    x = 45,601.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.