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Finding the Fourth Proportional to 153,815.32, 212,257 and 86,743

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Solution

The fourth proportional to 153,815.32, 212,257 and 86,743 is: 119,700.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,815.32 : 212,257 = 86,743 : x
  2. Step 2: Convert to fraction form
    153,815.32/212,257 = 86,743/x
  3. Step 3: Cross multiply
    153,815.32x = 212,257 × 86,743
  4. Step 4: Simplify right side
    153,815.32x = 18,411,808,951
  5. Step 5: Solve for x
    x = 18,411,808,951/153,815.32
  6. Step 6: Final answer
    x = 119,700.75

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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.