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Finding the Fourth Proportional to 85,715.57, 128,488.60 and 40,657.91

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Solution

The fourth proportional to 85,715.57, 128,488.60 and 40,657.91 is: 60,946.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,715.57 : 128,488.60 = 40,657.91 : x
  2. Step 2: Convert to fraction form
    85,715.57/128,488.60 = 40,657.91/x
  3. Step 3: Cross multiply
    85,715.57x = 128,488.60 × 40,657.91
  4. Step 4: Simplify right side
    85,715.57x = 5,224,077,089.09
  5. Step 5: Solve for x
    x = 5,224,077,089.09/85,715.57
  6. Step 6: Final answer
    x = 60,946.65

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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.