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Finding the Fourth Proportional to 102,588, 153,566.69 and 87,454.38

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Solution

The fourth proportional to 102,588, 153,566.69 and 87,454.38 is: 130,912.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,588 : 153,566.69 = 87,454.38 : x
  2. Step 2: Convert to fraction form
    102,588/153,566.69 = 87,454.38/x
  3. Step 3: Cross multiply
    102,588x = 153,566.69 × 87,454.38
  4. Step 4: Simplify right side
    102,588x = 13,430,079,225.33
  5. Step 5: Solve for x
    x = 13,430,079,225.33/102,588
  6. Step 6: Final answer
    x = 130,912.77

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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.