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Finding the Fourth Proportional to 116,011, 160,172.40 and 89,105.50

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Solution

The fourth proportional to 116,011, 160,172.40 and 89,105.50 is: 123,024.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,011 : 160,172.40 = 89,105.50 : x
  2. Step 2: Convert to fraction form
    116,011/160,172.40 = 89,105.50/x
  3. Step 3: Cross multiply
    116,011x = 160,172.40 × 89,105.50
  4. Step 4: Simplify right side
    116,011x = 14,272,241,788.20
  5. Step 5: Solve for x
    x = 14,272,241,788.20/116,011
  6. Step 6: Final answer
    x = 123,024.90

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1.5x scale

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.