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Finding the Fourth Proportional to 160,347.50, 240,450.14 and 85,453.68

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Solution

The fourth proportional to 160,347.50, 240,450.14 and 85,453.68 is: 128,142.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,347.50 : 240,450.14 = 85,453.68 : x
  2. Step 2: Convert to fraction form
    160,347.50/240,450.14 = 85,453.68/x
  3. Step 3: Cross multiply
    160,347.50x = 240,450.14 × 85,453.68
  4. Step 4: Simplify right side
    160,347.50x = 20,547,348,892.25
  5. Step 5: Solve for x
    x = 20,547,348,892.25/160,347.50
  6. Step 6: Final answer
    x = 128,142.62

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1.5x scale

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.