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Finding the Fourth Proportional to 281,020.70, 387,798.96 and 160,200.90

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Solution

The fourth proportional to 281,020.70, 387,798.96 and 160,200.90 is: 221,071.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,020.70 : 387,798.96 = 160,200.90 : x
  2. Step 2: Convert to fraction form
    281,020.70/387,798.96 = 160,200.90/x
  3. Step 3: Cross multiply
    281,020.70x = 387,798.96 × 160,200.90
  4. Step 4: Simplify right side
    281,020.70x = 62,125,742,411.06
  5. Step 5: Solve for x
    x = 62,125,742,411.06/281,020.70
  6. Step 6: Final answer
    x = 221,071.76

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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.