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Finding the Fourth Proportional to 235,453.12, 353,068.80 and 85,588

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Solution

The fourth proportional to 235,453.12, 353,068.80 and 85,588 is: 128,341.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,453.12 : 353,068.80 = 85,588 : x
  2. Step 2: Convert to fraction form
    235,453.12/353,068.80 = 85,588/x
  3. Step 3: Cross multiply
    235,453.12x = 353,068.80 × 85,588
  4. Step 4: Simplify right side
    235,453.12x = 30,218,452,454.40
  5. Step 5: Solve for x
    x = 30,218,452,454.40/235,453.12
  6. Step 6: Final answer
    x = 128,341.69

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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.