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Finding the Fourth Proportional to 160,416.72, 221,278.14 and 103,036.68

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Solution

The fourth proportional to 160,416.72, 221,278.14 and 103,036.68 is: 142,128.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,416.72 : 221,278.14 = 103,036.68 : x
  2. Step 2: Convert to fraction form
    160,416.72/221,278.14 = 103,036.68/x
  3. Step 3: Cross multiply
    160,416.72x = 221,278.14 × 103,036.68
  4. Step 4: Simplify right side
    160,416.72x = 22,799,764,902.18
  5. Step 5: Solve for x
    x = 22,799,764,902.18/160,416.72
  6. Step 6: Final answer
    x = 142,128.36

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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.