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Finding the Fourth Proportional to 102,032.60, 153,121.80 and 42,910.70

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Solution

The fourth proportional to 102,032.60, 153,121.80 and 42,910.70 is: 64,396.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,032.60 : 153,121.80 = 42,910.70 : x
  2. Step 2: Convert to fraction form
    102,032.60/153,121.80 = 42,910.70/x
  3. Step 3: Cross multiply
    102,032.60x = 153,121.80 × 42,910.70
  4. Step 4: Simplify right side
    102,032.60x = 6,570,563,623.26
  5. Step 5: Solve for x
    x = 6,570,563,623.26/102,032.60
  6. Step 6: Final answer
    x = 64,396.71

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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.