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Finding the Fourth Proportional to 162,778, 245,276.16 and 133,844

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Solution

The fourth proportional to 162,778, 245,276.16 and 133,844 is: 201,678.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,778 : 245,276.16 = 133,844 : x
  2. Step 2: Convert to fraction form
    162,778/245,276.16 = 133,844/x
  3. Step 3: Cross multiply
    162,778x = 245,276.16 × 133,844
  4. Step 4: Simplify right side
    162,778x = 32,828,742,359.04
  5. Step 5: Solve for x
    x = 32,828,742,359.04/162,778
  6. Step 6: Final answer
    x = 201,678.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.