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Finding the Fourth Proportional to 77,097.40, 115,415.70 and 45,916.60

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Solution

The fourth proportional to 77,097.40, 115,415.70 and 45,916.60 is: 68,737.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,097.40 : 115,415.70 = 45,916.60 : x
  2. Step 2: Convert to fraction form
    77,097.40/115,415.70 = 45,916.60/x
  3. Step 3: Cross multiply
    77,097.40x = 115,415.70 × 45,916.60
  4. Step 4: Simplify right side
    77,097.40x = 5,299,496,530.62
  5. Step 5: Solve for x
    x = 5,299,496,530.62/77,097.40
  6. Step 6: Final answer
    x = 68,737.68

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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.