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Finding the Fourth Proportional to 102,388.65, 141,307.77 and 57,070.77

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Solution

The fourth proportional to 102,388.65, 141,307.77 and 57,070.77 is: 78,764.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,388.65 : 141,307.77 = 57,070.77 : x
  2. Step 2: Convert to fraction form
    102,388.65/141,307.77 = 57,070.77/x
  3. Step 3: Cross multiply
    102,388.65x = 141,307.77 × 57,070.77
  4. Step 4: Simplify right side
    102,388.65x = 8,064,543,240.88
  5. Step 5: Solve for x
    x = 8,064,543,240.88/102,388.65
  6. Step 6: Final answer
    x = 78,764.04

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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.