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Finding the Fourth Proportional to 77,498.60, 116,099.70 and 52,415.40

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Solution

The fourth proportional to 77,498.60, 116,099.70 and 52,415.40 is: 78,522.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,498.60 : 116,099.70 = 52,415.40 : x
  2. Step 2: Convert to fraction form
    77,498.60/116,099.70 = 52,415.40/x
  3. Step 3: Cross multiply
    77,498.60x = 116,099.70 × 52,415.40
  4. Step 4: Simplify right side
    77,498.60x = 6,085,412,215.38
  5. Step 5: Solve for x
    x = 6,085,412,215.38/77,498.60
  6. Step 6: Final answer
    x = 78,522.87

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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.